Sean Humphrey, 26, was found dead in a property in Etive Street, Shettleston, on October 28.
Police confirmed they arrested a 26-year-old at the weekend and he is to appear at Glasgow Sheriff Court today.
A 24-year-old man was previously arrested on November 21.
A police spokeswoman said: "A 26-year-old man has been arrested in connection with the death of Sean Humphrey in Etive Street, Shettleston on October 28.
"A full report will be sent to the procurator fiscal."