Spurs officials are concentrating on Newham council’s involvement in backing West Ham’s successful bid with a £40m loan.
Tottenham asked the council for more details of the financial package earlier this month but are yet to receive an answer.
A Spurs statement said: “The Club has today sought permission from the High Court to bring a claim against the London Borough of Newham for judicial review of Newham’s process in providing a loan for the conversion of the Olympic Stadium after the 2012 Games.
“The Club wrote to Newham asking it to explain its reasons and justification for its decision, but Newham has declined to respond to this request for information.
“Due to the time limits which apply to claims for judicial review, the Club has had no alternative but to issue these proceedings in order to protect its position.
“The Club continues to hold discussions with both local and national government bodies in order to seek to agree a feasible stadium solution.”