A man has died after falling seven floors down a lift shaft in inner-city Sydney.

The man, aged in his 20s, was found dead in the building in Quay Street,

Haymarket at about 1.45am on Wednesday, police said.

Investigators were told three people had been travelling in the lift when it stopped between floors.

The man who died had reportedly climbed out and fell down the lift shaft.

Detectives have been interviewing witnesses and police inquiries into the full circumstances continue.