Politicians at Westminster will debate the matter on Monday after the petition generated more than 140,000 signatures across the UK.
They included 84 people in the Kirkcaldy and Cowdenbeath constituency; 67 Glenrothes; 81 in North East Fife, and 107 in Dunfermline.
In total, over 4300 Scottish football fans put their names to the campaign.
The petition's creator said a regulator would "safeguard our beautiful game" from another Super League breakaway attempt – which involved six of the biggest English sides – or other efforts to "put money ahead of fans".
Fair Game, a new collection of football clubs calling for reform of the sport's governance, said the time for an independent regulator has come and that the Government should not waste this opportunity.