Goals from Odsonne Edouard and James Forrest secured a 2-1 win for the Hoops at Celtic Park.
However, the Celtic captain was accused by the SFA of ‘failing to act in the best interest of Scottish football’ after he celebrated in front of the away fans at the full-time whistle.
Brown was initially scheduled to have a hearing on May 2 at Hampden.
However, his club appealed this as it would have meant the 33-year-old could have missed the trip to play Rangers on May 12.
Brown was accused of breaching a rule which states players, coaches and officials should “act in the best interests of association football”.