The Falcons also lost linebacker Sean Weatherspoon (foot), defensive end Kroy Biermann (right ankle), fullback Bradie Ewing (shoulder), defensive end Cliff Matthews (neck) and cornerback Asante Samuel (thigh) in the first half.
Only Matthews returned in the first half.
Ewing, who couldn't put weight on his right leg, left the field on a cart. Weatherspoon, Ewing, Biermann, Samuel and Jackson - all starters - did not return to the sideline for the second half.
Jackson apparently was injured when he scored on an 8-yard touchdown pass from Matt Ryan in the first quarter. Jackson was escorted to the locker room during the ensuing kickoff.
Rams safety Matt Daniels was carted off the field with his right ankle in a splint in the first quarter and did not return.
Samuel missed last week's game at New Orleans with a thigh injury. He aggravated the injury in the first quarter. Rookie Robert Alford replaced Samuel at cornerback.
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