The brutal attack happened in the Clarawood Park area of the city on Friday evening.
The victim has been treated in hospital but his injuries aren’t thought to be life-threatening.
A PSNI spokesman said: “Detectives are appealing for information following the report of an aggravated burglary in the Clarawood Park area of Belfast on Friday 8 April.
“At approximately 9.40 pm police received a report that the male occupant of the dwelling answered a knock to the door.
“On opening the door he ran back into his premises. He was followed by three men who proceeded to assault him with what is believed to be hammers.
“He was taken to hospital for treatment to his injuries which are not believed to be life threatening.”
Detective Constable Ian Austin added: “I would appeal to anyone who has any information about this incident to contact Detectives at Reactive and Organised Crime at Musgrave PSNI Station on the non-emergency number 101.
“Or, if someone would prefer to provide information without giving their details they can contact the independent charity Crimestoppers and speak to them anonymously on 0800 555 111.”