St. Louis drafted the running back from Georgia with the No. 10 pick despite a torn knee ligament that ended his 2014 season with the Bulldogs and still has him out of action.
In 30 games with Georgia, Gurley totaled 3,285 rushing yards and 615 receiving yards with 42 total touchdowns.
Other Rams signings include offensive linemen Rob Havenstein, Jamon Brown, Andrew Donnal and Cody Wichmann, quarterback Sean Mannion, defensive lineman Martin Ifedi and linebacker Bryce Hager.
The Rams also drafted receiver Bud Sasser in the sixth round, but he was waived after signing when a physical revealed a pre-existing heart condition that team doctors believe will prevent him from playing.