If you are ordering a group of people not to move, you say "nobody move." You could also give the same order to one person, "Don't move!"
By the way, another way to give the order is "Freeze!"
If you are describing a situation, in the present tense, you say "nobody moves." You might do this when telling a story in the historical present. "Captain Queeg walks into the wardroom. He's furious. He shouts 'Who ate the strawberries?' Nobody speaks. Nobody moves."
In the past tense, you would say "nobody moved." "Captain Queeq walked into the wardroom. He was furious. He shouted 'Who ate the strawberries?' Nobody spoke. Nobody moved."