In this paper, we consider the commutator M ρ Ω,b generated by the locally integrable function b in generalized Campanato spaces and the parameter Marcinkiwicz integral with the rough kernel M ρ Ω , where the rough kernel Ω satisfies certain log-type regularity. Meanwhile, a necessary and sufficient condition for the boundedness of the commutator on Orlicz-Morrey spaces is established.