Sean Martin, 21, of Coatbridge, was found dead by police who were called to the flat in Jackson Court in the North Lanarkshire town at 1.25am on Saturday.
They had gone to the scene after receiving a report of a disturbance.
Strathclyde Police said later that a 20-year-old woman had been arrested. She will appear at Airdrie Sheriff Court today.
Police said a full report has been sent to the procurator-fiscal.