The body of Gary Logue, from Pollokshields, was discovered in Elderpark Street in Govan at about 4:10am. He had suffered multiple stab wounds.
He was taken by ambulance to Southern General hospital, but was dead on arrival.
The victim’s age has not been disclosed, and a post-mortem examination was being carried out yesterday evening.
Strathclyde Police said they received an anonymous call informing them a man was lying in the street, and have urged anyone with any information to come forward.
Detective Inspector Fergus Hutcheson, who is leading the investigation, said: “We are trying to establish circumstances surrounding this death.”