Officers in Blackpool shared the CCTV still of the man, dubbed the "spitting image" of Friends actor David Schwimmer, clutching a crate of beer.
Schwimmer responded to jokes posted on Blackpool Police's Facebook post with the video on Wednesday.
He wished officers hunting the double "good luck with the investigation".
In the video posted to Twitter and Instagram, the star is seen furtively glancing at a camera as he walks through a convenience store clutching cans of beer.
"Officers, I swear it wasn't me," says the accompanying post.
