The Foggy Dew was closed at an emergency hearing of the city's licensing board.
Police Scotland asked licensing chiefs to review the licence after alleged "serious violence" and "sectarian, religious prejudice behaviour" within the premises.
Officers claimed the London Road bar should be closed after a string of incidents, including an alleged serious assault at the weekend.
The licensing board heard how police said there was a "lack of co-operation from management and licence holder" at the East End pub.
Chief Inspector Hilary Sloan said: "The management has completely failed to engage with us and that's a big issue for us. We can't predict what may happen in future. But there's a likelihood that there will be further disorder as they have not taken on board any of the recommendations made by us."
She asked for the closure order to be imposed for "sufficient time" for Police Scotland to return to the board for a review hearing of the premises.
It is the first time that closure order powers, within the licensing legislation, have been used in Glasgow Granting the order, Councillor Bill Butler said: "The board is satisfied that a closure order is necessary to prevent crime and disorder and secure public safety."
The pub was named after a famous Irish ballad and was popular with both locals and city visitors. However, the bar caused controversy when it held a party to "celebrate" the death of former Prime Minister Margaret Thatcher.
Police launched an investigation into the event after footage appeared on the internet.
Archie McIver, the solicitor appearing for the licence holder, East End Catering, told the board he had been instructed not to oppose any motion by the police.
The Foggy Dew's designated premises manager, Lloyd Ingram, did not attend the hearing and no-one appeared on his behalf.