Sean Humphrey, 26, was found dead in a property in Etive Street, Shettleston, on October 28.
Police launched a public appeal to trace Steven Ross, 26, and Scott Keogh, 24, in connection with the incident.
Police have now arrested a 26-year-old man. A 24-year-old man was arrested on November 21.
A Police Scotland spokeswoman said: "Following a police operation in Glasgow on Saturday January 4 2014, a 26-year-old man has been arrested, and is presently detained in police custody in connection with the death of Sean Humphrey in Etive Street, Shettleston, Glasgow on Monday October 28 2013.
"A full report will be sent to the procurator fiscal."