Ryan McNeill, 29, died at an address in the Easterhouse area of the city on Saturday morning.
Officers were called to a house in Conisborough Road shortly before 2am.
A 27-year-old man has been arrested in connection with the incident.
He is expected to appear at Glasgow Sheriff Court today.
A Police Scotland spokeswoman said: "A 27-year-old man has been arrested and is presently detained in police custody in connection with the incident.
"A report will be submitted to the procurator fiscal."