Functionally graded materials (FGM), which possess a graded property distribution in space along certain directions, are optimal composite materials for satisfying some special requirements of devices. There are some novel phenomena appeared in functionally graded multiferroic plates and shells, which offer new concepts and possibilities in the design of magnetoelectric (ME) devices. Analogical to that for elastic plates as proposed by R.D. Mindlin, two-dimensional equations to evaluate the ME effects in functionally graded multiferroic laminated plates and shells are derived using the series expansion method. The results show that the multiferroic laminated structures with special gradation have a stronger ME coupling effect than that in the homogeneous structure.