Report Pursuant to Section 28a of the Danish Securities Trading Act


Copenhagen, Denmark; June 2, 2010 - Pursuant to Section 28a of the Danish       
Securities Trading Act, Genmab A/S (OMX: GEN) shall make public information on  
transactions by managerial employees and their related parties involving Genmab 
shares and related instruments, as follows:                                     

Name:	Michael B. Widmer                                                         
Reason: Member of the Board of Directors                                        
Issuer: Genmab A/S                                                              
ID code/ ISIN: DK0010272202                                                     
Description: Warrants                                                           
Transaction: Grant                                                              
Trading date: June 2, 2010                                                      
Market: NASDAQ OMX Copenhagen A/S                                               
Number: 15,000                                                                  
Value: DKK 377,250                                                              

Name:	Anders Gersel Pedersen                                                    
Reason: Member of the Board of Directors                                        
Issuer: Genmab A/S                                                              
ID code/ ISIN: DK0010272202                                                     
Description: Warrants                                                           
Transaction: Grant                                                              
Trading date: June 2, 2010                                                      
Market: NASDAQ OMX Copenhagen A/S                                               
Number: 7,500                                                                   
Value: DKK 188,625                                                              

Name:	Karsten Havkrog Pedersen                                                  
Reason: Member of the Board of Directors                                        
Issuer: Genmab A/S                                                              
ID code/ ISIN: DK0010272202                                                     
Description: Warrants                                                           
Transaction: Grant                                                              
Trading date: June 2, 2010                                                      
Market: NASDAQ OMX Copenhagen A/S                                               
Number: 7,500                                                                   
Value: DKK 188,625                                                              

Name:	Burton G. Malkiel                                                         
Reason: Member of the Board of Directors                                        
Issuer: Genmab A/S                                                              
ID code/ ISIN: DK0010272202                                                     
Description: Warrants                                                           
Transaction: Grant                                                              
Trading date: June 2, 2010                                                      
Market: NASDAQ OMX Copenhagen A/S                                               
Number: 7,500                                                                   
Value: DKK 188,625                                                              

Name:	Hans Henrik Munch-Jensen                                                  
Reason: Member of the Board of Directors                                        
Issuer: Genmab A/S                                                              
ID code/ ISIN: DK0010272202                                                     
Description: Warrants                                                           
Transaction: Grant                                                              
Trading date: June 2, 2010                                                      
Market: NASDAQ OMX Copenhagen A/S                                               
Number: 7,500                                                                   
Value: DKK 188,625                                                              

Name:	Nedjad Losic                                                              
Reason: Member of the Board of Directors                                        
Issuer: Genmab A/S                                                              
ID code/ ISIN: DK0010272202                                                     
Description: Warrants                                                           
Transaction: Grant                                                              
Trading date: June 2, 2010                                                      
Market: NASDAQ OMX Copenhagen A/S                                               
Number: 7,500                                                                   
Value: DKK 188,625                                                              

Name:	Tom Vink                                                                  
Reason: Member of the Board of Directors                                        
Issuer: Genmab A/S                                                              
ID code/ ISIN: DK0010272202                                                     
Description: Warrants                                                           
Transaction: Grant                                                              
Trading date: June 2, 2010                                                      
Market: NASDAQ OMX Copenhagen A/S                                               
Number: 7,500                                                                   
Value: DKK 188,625                                                              

Name:	Daniel Bruno                                                              
Reason: Member of the Board of Directors                                        
Issuer: Genmab A/S                                                              
ID code/ ISIN: DK0010272202                                                     
Description: Warrants                                                           
Transaction: Grant                                                              
Trading date: June 2, 2010                                                      
Market: NASDAQ OMX Copenhagen A/S                                               
Number: 7,500                                                                   
Value: DKK 188,625                                                              

Name:	Lisa N. Drakeman                                                          
Reason: President, Chief Executive Officer and member of the Board of Directors 
Issuer: Genmab A/S                                                              
ID code/ ISIN: DK0010272202                                                     
Description: Warrants                                                           
Transaction: Grant                                                              
Trading date: June 2, 2010                                                      
Market: NASDAQ OMX Copenhagen A/S                                               
Number: 120,000                                                                 
Value: DKK 3,018,000                                                            

Name:	Jan G. J. van de Winkel                                                   
Reason: President, Research & Development and Chief Scientific Officer          
Issuer: Genmab A/S                                                              
ID code/ ISIN: DK0010272202                                                     
Description: Warrants                                                           
Transaction: Grant                                                              
Trading date: June 2, 2010                                                      
Market: NASDAQ OMX Copenhagen A/S                                               
Number: 70,000                                                                  
Value: DKK 1,760,500                                                            

Name:	David A. Eatwell                                                          
Reason: Chief Financial Officer                                                 
Issuer: Genmab A/S                                                              
ID code/ ISIN: DK0010272202                                                     
Description: Warrants                                                           
Transaction: Grant                                                              
Trading date: June 2, 2010                                                      
Market: NASDAQ OMX Copenhagen A/S                                               
Number: 70,000                                                                  
Value: DKK 1,760,500                                                            

The exercise price for each warrant is DKK 46.74. Each warrant entitles the     
owner to subscribe one share of nominally DKK 1. On the basis of an exercise    
price of DKK 46.74 and by application of the Black-Scholes formula, the average 
value of each warrant can be calculated as DKK 25.15 based on an interest rate  
of 2.55% and the historical volatility of Genmab A/S shares calculated at       
59.63%.                                                                         

About Genmab A/S                                                                
Genmab is a leading international biotechnology company focused on developing   
fully human antibody therapeutics for the potential treatment of cancer.        
Genmab's world class discovery and development teams are using cutting-edge     
technology to create and develop products to address unmet medical needs.  Our  
primary goal is to improve the lives of patients who are in urgent need of new  
treatment options.  For more information on Genmab's products and technology,   
visit www.genmab.com.                                                           

This Stock Exchange Release contains forward looking statements. The words      
“believe”, “expect”, “anticipate”, “intend” and “plan” and similar expressions  
identify forward looking statements. Actual results or performance may differ   
materially from any future results or performance expressed or implied by such  
statements. The important factors that could cause our actual results or        
performance to differ materially include, among others, risks associated with   
product discovery and development, uncertainties related to the outcome and     
conduct of clinical trials including unforeseen safety issues, uncertainties    
related to product manufacturing, the lack of market acceptance of our products,
our inability to manage growth, the competitive environment in relation to our  
business area and markets, our inability to attract and retain suitably         
qualified personnel, the unenforceability or lack of protection of our patents  
and proprietary rights, our relationships with affiliated entities, changes and 
developments in technology which may render our products obsolete, and other    
factors. For a further discussion of these risks, please refer to the section   
“Risk Management” in Genmab's Annual Report, which is available on              
www.genmab.com.  Genmab does not undertake any obligation to update or revise   
forward looking statements in this Stock Exchange Release nor to confirm such   
statements in relation to actual results, unless required by law.               

Genmab(R); the Y-shaped Genmab logo(R); HuMax(R); HuMax-CD20(R); HuMax-EGFr(TM);
HuMax-IL8(TM); HuMax-TAC(TM); HuMax-HepC(TM); HuMax-CD38(TM); HuMax-CD32b(TM);  
HuMax-TF(TM); HuMax-Her2(TM); HuMax-VEGF(TM); HuMax-Wnt; HuMax-cMet(TM) and     
UniBody(R) are all trademarks of Genmab A/S. Arzerra(R) is a trademark of       
GlaxoSmithKline.                                                                

Contact: Helle Husted, Vice President, Investor Relations, T: +45 33 44 77 30,  
M: +45 25 27 47 13, E: h.husted@genmab.com                                      
                                                                                
Stock Exchange Release no. 21/2010                                              

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Attachments

21_warrant_grant_section_28a_uk.pdf
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