The case was brought against Hearts by former player George Wright but the Scottish Football Association arbitration tribunal found in favour of the Edinburgh club. Wright had claimed he was entitled to payment as an agent in respect of the deal that led to the Scotland goalkeeper's 9 million move in 2007.
However, his claim has been dismissed by the arbitration tribunal.
A club spokesperson said on Hearts' official website: "We were confident that there was no substance to the claims being made and that this was an opportunistic move on the part of the agent. The agent was neither acting for the player or the club at the time of the transfer and played no part in the player's move to the English Premiership team.
"We have said before that we have a duty to defend the club against the actions of those who want to use Hearts for their own personal gain.
"It is a pity that a former player, someone who may be regarded a hero and patriot of the club, wanted to rip the club off in so shameful a manner."