Victim Jonathan Scotland, 33, from the city, was discovered at Blythswood Court in the city centre.
Police were called to the scene at 1.30am on Wednesday. They said Mr Scotland died after allegedly falling from the eighth floor.
Leonard Brannigan, 29, of no fixed address, appeared at Glasgow Sheriff Court.
He made no plea or declaration and was remanded in custody.
He is next expected to appear in court on Friday.