In this paper, the free vibration response of a laminated composite rectangularplate supporting a rotating circular patch mass is studied. The two variable refined platetheory that employs only two unknown functions as against three in the case of simpleshear deformation theory is applied to define the third order displacement field of acomposite rectangular plate. The plate is considered to have simply supported boundaries.The equations of motion for the rectangular plate are obtained by calculus of variation. Dueto significance of the fundamental frequency of the plate, its variation with respect to thenon-dimensional geometrical parameters such as aspect ratio of the plate, size and locationof the rotating patch mass, is investigated. It will be shown herein that the proposed theoryis simple in solving the free vibration problems of plates with patch masses.