Police are on the search for a suspect who allegedly stabbed a man in Kilburn overnight.

Police and paramedics were called to the intersection of Northcote Terrace and Prospect Road just before 3:30am this morning, following reports of a fight.

On arrival, police found the victim with multiple stab wounds to his chest and was taken to the Royal Adelaide Hospital with non-life threatening injuries.

Police officers conducted a search of the area with Police Dog Zac, but were unable to locate the suspect.

The suspect is believed to be known to the victim.

Anyone with information about the assault is being urged to contact Crime Stoppers on 1800 333 000 or at crimestopperssa.com.au.