Bryan Stow's family said on their website Monday that Stow lifted his left leg when asked and raised his left arm when asked if someone could hold his hand.
The family also says that when Stow's sister Bonnie asked if she could give him a kiss, he puckered his lips each time.
Stow suffered brain injuries when he was attacked after the Dodgers' home opener in late March. The father of two children underwent emergency surgery last month for fluid buildup in his head that caused a seizure.
Officials at San Francisco General Hospital say he remains in serious condition.