The three minute video shows the driver on the Bieber Tourways bus holding what looks like a cell phone. He is seen looking down at it several times, and taking his eyes off the road.
At one point he reaches for another device by taking his hands off the wheel.
The passenger who recorded the video, Miki Onwudinjo, says she felt she was in danger.
"I couldn't believe that he was even able to do both at the same time, just scrolling with his left hand on the iPhone and then texting with two thumbs on the other hand with his device while driving and looking at the road occasionally," said Onwudinjo.
About 15 people were on the bus at the time.