The injured man was discovered in Elizabeth Street, in the city's Cessnock area, near Ibrox, at about 00:20 on Tuesday.
Emergency services attended but he was pronounced dead at the scene.
Police Scotland said a 27-year-old man had been detained in connection with the death. He was due to appear at Glasgow Sheriff Court on Wednesday.
A man has been arrested in connection with the death of another man found seriously hurt in a Glasgow street.