In this article, free vibration studies on Functionally Graded Materials (FGM) magneto-electro-elastic cylindrical shells have been carried out. A series solution is assumed in circumferential and axial direction such that the three-dimensional character of the solution is preserved. The finite element model is derived based on constitutive equation of magneto-electro-elastic material accounting for coupling between elasticity, electric and magnetic effect. Frequency behavior with the variation of power law index is analyzed and explained on the basis of constitutive material. One of the aims of the study is to evaluate the influence of magnetic and piezoelectric effect on the structural frequency. In addition influence of length to radius ratio and radius to thickness ratio on the frequency behaviour of such shells have been attempted. © 2005 Elsevier Ltd. All rights reserved.