Russia's Federal Registration Service refused to register the People for Democracy and Justice Party in January 2008 over discrepancies in its membership papers. Two Moscow courts later refused to satisfy the party's appeal against the decision.
Kasyanov said at a news conference he had appealed against violations of the freedoms of association, expression, and fair and public judgment.
During his visit to Strasbourg, Kasyanov plans to hold meetings at the Parliamentary Assembly of the Council of Europe (PACE).
Kasyanov has accused the Russian authorities of "pressure and intimidation" after he was banned from running in the March 2008 presidential elections over irregularities in his application. The election commission ruled his supporters had collected forged signatures to support his bid.