The 35-year-old was approached by two men and assaulted on Stravanan Street in Castlemilk on Friday morning.
Emergency services were alerted to the incident around 10:50am, but the victim was pronounced dead at the scene.
Detectives are treating the death as suspicious and say a post-mortem examination will be carried out to establish the exact cause of death.
Officers have been carrying out door-to-door inquiries and have been gathering CCTV footage from the area.
Their inquiries have revealed the victim was with colleagues when he was approached by the pair and attacked.
"I am appealing to local people who may have witnessed the incident to get in touch with us.
"All information at this early stage is crucial as it helps us begin to piece together what has happened.
"At this stage we do not know why this attack has taken place.
"I would ask anyone who was in the area at the time to contact us, no matter how insignificant you think your information is, let us be the judge and please do pass it on."