Magnetoelectric laminate composites of piezoelectric/magnetostrictive materials were prepared by stacking and bonding together a PZT disk and two layers of Terfenol-D disks with different directions of magnetostriction. These composites were studied to investigate (i) dependence on the magnetostriction direction of the Terfenol-D disk and (ii) dependence on the direction of the applied ac magnetic field. Three different types of assemblies were prepared by using two types of disks: one with magnetostriction along the radial direction, the other, with magnetostriction along the thickness direction. The maximum magnetoelectric voltage coefficient (dE/dH) of 5.90 V/cm.Oe was obtained for a design where the composite was made by two Terfenol-D layers with a radial magnetostriction direction.