The HFPA made the announcement via the official Golden Globes twitter account.
Damon can currently be seen in the Coen Brothers' True Grit. Pattinson's film adaption of the book Water for Elephants is due out in April 2011, while J Lo is set to judge the new season of American Idol.
You can check out the full list of Globe nominees here.
The Golden Globes will broadcast live Jan. 16 at 8 ET/5 PT on NBC.