According to The Hollywood Reporter Gyllenhaal is in talks to take on the doubtless intense role.
Stronger is based on the book of the same name by survivor Jeff Bauman and his co-writer Bret Witter.
Bauman lost both his legs as he waited on his girlfriend to finish the marathon and the pressure cooler bombs went off.
Three people were killed and hundreds injured when brothers Dzhokhar and Tamerlan Tsarnaev planted two homemade bombs during the marathon in 2013.
The script is by John Pollono and David Gordon Green (Pineapple Express) has already signed on to direct.