Police said the 30-year-old was being treated for serious injuries at Glasgow Royal Infirmary. His condition has been described as "stable".
The incident, which happened in the Maryhill area at about 20:25 on Saturday, is being treated as attempted murder.
It involved between six and 10 men and women carrying weapons.
It is not thought to be gang-related.
A Police Scotland spokeswoman said: "A 30-year-old man sustained serious injuries after being stabbed on Hathaway Lane at around 8.25pm.
"Hathaway Lane and Avenue Park Street remain closed and we are carrying out CCTV and door-to-door inquiries."
A man has been stabbed during an incident in Glasgow which involved up to 10 people.