The plan is contained in a short section of the party's election manifesto launched on Monday by Prime Minister Gordon Brown, himself a shareholder in Scottish club Raith Rovers.
"Sports governing bodies will be empowered to scrutinise takeovers of clubs, ensuring they are in the long-term interests of the club and the sport," the manifesto said.
"We will develop proposals to enable registered Supporters Trusts to buy stakes in their club," it added.
The financing of Britain's professional football clubs has become a contentious issue with some supporters angry over the debt-financed takeover of top teams like Manchester United.
The Red Knights, a collection of wealthy financial figures including former Football League chairman Keith Harris and Goldman Sachs chief economist Jim O'Neill, want to take over English champions Manchester United.
