Moments after Zimmerman was acquitted Saturday evening of all charges in the shooting death of Florida teen Trayvon Martin, the NAACP called for a civil rights federal case to be brought against Zimmerman.
In an appearance on CNN's "State of the Union," Jealous said steps are already being taken to do so.
"It's important, just as we all put our faith in this justice system here in Florida and in the jury that we let the justice system run its course. And the reality is in these types of cases where there are very serious questions, we know there will be a state phase. There will be a civil phase almost assuredly and then there will be a federal civil rights phase," he said.
Jealous said he believes a civil rights case in appropriate because there was evidence in Zimmerman's trial he showed bias against black people.
"When you look at his comments and when you look at comments made by young black men who lived in that neighborhood about how they felt, especially targeted by him, there is reason to be concerned that race was a factor in why he targeted young Trayvon," he said.
'How to Train Your Dragon 2' releases 5-minute clip
Lytro unveils camera that can focus a photo after shooting it