The Texans on Thursday introduced the Honoring the Fort Hood Heroes Act.
A military jury last month sentenced Maj. Nidal Hasan to death for the attack at the Central Texas post that left 13 people dead and 30 hurt. Victims and relatives have complained that the U.S. government wrongly categorized the attacks as workplace violence.
The bill offered Thursday would provide life insurance, tax breaks for death in a combat zone and other combat-related pay.
Hasan following the trial became an inmate at Fort Leavenworth, Kan., home to the military death row.