Two men have been stabbed in separate incidents in Melbourne in the early hours of Saturday morning.

The first incident occurred shortly before 1am at a convenience store on the corner of Exhibition and Bourke streets in the city where a 39-year-old man suffered a stab wound to his upper body.

Police were called to the convenience store at 12.50am where they found the man with non-life threatening injuries.

He was taken to hospital and police are investigating.

In a separate incident, a man in his 30s suffered serious injuries when he was stabbed following an aggravated burglary at a home in St Albans.

Police say unknown offenders went to the house in Andrea Street just after 4am and the man was stabbed after an altercation broke out at the house.

Police are investigating the circumstances surrounding the aggravated burglary and stabbing.