East Belfast DUP MLA Robin Newton described the presence of the BNP at the football game as uninvited and unwelcome.
Mr Newton said a number of constituents contacted him to "express their disgust" at the presence of the BNP outside their local club.
"They go to the Oval to support the Glens and enjoy a game of football; they don't want to be faced with BNP messages of hate," Mr Newton said.
"Glentoran Football Club has a generational tradition of appealing to a broad range of supporters and players, irrespective of race or religion.
"I presume this BNP presence is some sort of campaign to raise their nauseous profile, and I appeal for everyone to stand as one to reject their message," he added.
"I understand they are now seeking to link their actions to some form of support for our troops serving in Afghanistan and Iraq.
"How ironic, given the fact that our brave young soldiers are currently fighting those who espouse exactly the same sort of bile and hate as preached by the BNP.