Police investigating a murder in the inner Perth suburb of Northbridge have released the name and photograph of a man wanted for questioning.

Officers were called to an apartment complex on Newcastle Street at 1:15pm on Tuesday and found the victim, Benjamin Terry Egan, with fatal injuries.

The ABC has been told Mr Egan, 38, had suffered multiple stab wounds to his chest and ribs.

He was treated by paramedics, but later died from his injuries in Royal Perth Hospital.

Detectives want to question Daniel Carrington, 40, a homeless man who is believed to have left the complex on foot and is known to frequent the Glendalough area.

Forensic police search the first floor of an apartment complex in Northbridge. ( Supplied: Night News )

Police said Mr Carrington was also known as Daniel "Macka" McKenzie.

Major Crime Squad detectives and forensic police were at the crime scene overnight, collecting evidence on the stairway of the property and on the first floor of the short-stay accommodation complex.

Detective Senior Sergeant Tom Mills said Mr Egan was stabbed in the stairwell.

He appealed for anyone with information about Mr Carrington's whereabouts to come forward.

"He's a homeless man, he frequents the city, Fremantle and Glendalough area," he said.

"We would ask Mr Carrington to contact the nearest police station to hand himself into police so we can interview him in relation to this offence."

Sergeant Mills said police also wanted to speak to any witnesses who saw Mr Carrington near 239 Newcastle Street about 1:00pm yesterday.

"At the time Mr Carrington was wearing a bucket-style hat, a blue t-shirt with a white emblem on the front, a pair of brown shorts and white runners," he said.

Police warned that Mr Carrington should not be approached.