This paper is concerned with the theoretical analysis for a laminated hollow cylinder constructed of isotropic elastic material and maltiferroic materials due to unsteady and uniform surface heating. We treat the maltiferroic materials such as piezoelectric and magnetostrictive materials as a linear magneto-electro-thermoelastic material. We obtain the exact solution of the transient thermoelastic problem for the laminated hollow cylinder. As an example, numerical calculations are carried out for a three-layered composite hollow cylinder constructed of isotropic elastic material, piezoelectric material and magnetostrictive material, and the numerical results in a transient state are shown in figures.