The five-member band includes Siva Kaneswaran, Max George, Nathan Sykes, Tom Parker and Jay McGuiness complain that Bieber, 18, has an excuse ready everytime, reported Daily Star online.
Bieber even fakes headaches to avoid the 'Glad You Came' singers when he visits London.
"He has an excuse every time. It is normally migraines," said Tom Parker.
Max George said, "Every time he is in town our manager says we should take him out and show him the ropes. But every single time we arrange to meet at a bar or a club and we are told he has a migraine.
"His manager won't even let us tweet him sometimes," he added.