The man's misdeed was caught on surveillance video.
That video shows the man standing at the counter of the Judah Mediterranean Grill in the Somerton section while holding a menu.
He pretends to read the menu and then, when no one is looking, lifts up the tip jar then covers it with the menu.
The man then turns around and walks out of the restaurant with the jar.
Investigators say they have some leads, but so far have not made any arrests.