Melbourne police are hunting for a man who took part in a bizarre burglary while dressed in a lion costume and a frizzy black wig.

Detectives say the man and an accomplice entered a building on Down Street in Collingwood early last Sunday, and fled with computers, a mobile phone, a camera, a hair straightening iron and charity chocolate.

CCTV shows one of the men dressed in a lion suit, complete with a tail and dark, frizzy mane.

Police said in a statement that "offender one is perceived Caucasian, a lion, with a black wig".

The second offender was wearing a black jacket with "Uber" emblazoned on the back, but police do not believe he is associated with the ride-share company.

Detective Senior Constable Rachael Knight said the building, which houses a teacher recruitment agency, was being renovated.

Staff noticed the missing items when they arrived for work on Monday morning.

"A garage roller door appears to have been left open and they've gained entry through there," Detective Senior Constable Knight said.

She said the charity chocolate was being sold to raise money for the family of a young girl who recently died of cancer.

Detective Senior Constable Knight said there was a good chance the pair was coming home from some kind of costume party.

"I believe this was just a random opportunity," she said.

"I've never had a lion onesie burglar before.

"So we're just hoping members of the public may know some information and can forward that to Crime Stoppers."