Tim Tebow with New Girlfriend Camilla Belle

Tim Tebow has finally scored -- problem is, it's off the field -- because TMZ got the first pic showing Tim with his hot new girlfriend/actress, who is no stranger to famous virgins.

Tim and Camilla Belle showed up at Latitude 30 in Jacksonville, Florida Tuesday night, where they bowled and partied.

Camilla has a history with other putatively pure celebs. She dated Joe Jonas for awhile, but they split up in 2009.

People who were at Latitude 30 last night tell us ... Tim and Camilla were overly affectionate throughout the evening, holding hands and touching.

Camilla's rep didn't get back to us, but sources connected with Camilla tell us they are definitely an item.