The Marlins center fielder was examined and cleared by a team physician to increase his baseball activities.
"He gave me the green light to start hitting and play catch," Bonifacio said.
Bonifacio is recovering from surgery to repair a torn ligament in his left thumb. The injury occurred in Cleveland on May 18, and he's been on the disabled list since May 20.
On Tuesday, Bonifacio began hitting off a tee. He also put a glove on and played catch. The injury is to his glove hand.
In recent days, Bonifacio had taken practice swings.
The hope is to have him back after the All-Star break. The Marlins come out of the break on July 13 at home against the Nationals.
"I don't want to be rushed back," Bonifacio said. "I'm feeling great."