Ohio Rev. Code Ann. § 1901.18
(A) Except as otherwise provided in this division or section 1901.181 of the Revised Code, subject to the monetary jurisdiction of municipal courts as set forth in section 1901.17 of the Revised Code, a municipal court has original jurisdiction within its territory in all of the following actions or proceedings and to perform all of the following functions:
(B) The Cleveland municipal court also shall have jurisdiction within its territory in all of the following actions or proceedings and to perform all of the following functions: