Tottenham sought permission from the High Court to challenge the decision to hand the keys to the Olympic Stadium to West Ham.
The board of the Olympic Park Legacy Company unanimously voted 14-0 in February to make the Hammers its first choice to move into the stadium in Stratford, east London, after the 2012 Games. Both the Government and the London mayor have rubber-stamped the decision but Tottenham are questioning how the ruling was reached.
In a statement, the Premier League club said: "The club has sought permission from the High Court to bring a claim against the Olympic Park Legacy Company Limited, the Mayor of London, the Minister for Sport and the Olympics and the Secretary of State for Communities and Local Government for judicial review of a series of decisions made by them to appoint a joint bid by the London Borough of Newham and West Ham United Football Club as preferred bidder in a competition for the lease of the Olympic Stadium."
The statement continued: "The club continues to hold discussions with both local and national government bodies in order to seek to agree a feasible stadium solution."
Last month Spurs applied for a judicial review into Newham Council's role in arranging a £40million loan to finance West Ham's move to the £486million stadium.
On Tuesday the club widened their appeal and asked the High Court to start a separate judicial review into the roles of several other parties involved in awarding West Ham the stadium.
In March, Spurs wrote letters to all parties involved in the process, demanding answers about how the decision was reached. The club applied for judicial review in relation to Newham Council after receiving what they say were unacceptable answers.
Last month Leyton Orient also demanded a judicial review against Newham's role in partnering West Ham's bid.
The High Court will now assess all the claims made before deciding whether or not to hold a judicial review into the processes which saw West Ham win use of the stadium they are due to move into in summer 2013.
The Hammers, in a joint bid with Newham Council, intend to convert the 80,000-seater stadium into a 60,000-seater stadium, keeping an athletics track.
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