Police are hunting two men who allegedly stole a van in Melbourne then went on a shopping spree with the victim's credit card.

A security camera captured one of the men snapping a boom gate, before the van was driven from a car park at Westfield shopping centre, in Doncaster, on October 4.

Police say the stolen credit card was used to buy a mobile phone and alcohol.

The stolen vehicle is a 1996 white Ford Econovan with registration NQH740.