Shirt sponsors Enterprise Insurance have filed the petition in the High Court over an alleged unpaid debt.
Enterprise's managing director Andrew Flowers was part of the Sport Capital consortium that saw their attempt to take over the Sky Bet Championship club collapse last week.
According to the Financial Times the petition was filed on January 29, the day after Sport Capital's bid fell through. The case is due to be heard in March.
Italian Massimo Cellino has since agreed to buy a 75 per cent stake in the club, subject to the deal being approved, although there are reports Sport Capital could return to the bidding process.
A statement from GFH Capital on the Leeds official website read: "The winding up petition issued by Enterprise Insurance, a sponsor whose managing director, Andrew Flowers, claims to support the club, is misconceived and an abuse of legal process.
"It is being vigorously contested by the club's lawyers.
"Under the ownership of GFH Capital, Leeds United has always met its financial obligations and it will continue to do so."