The theoretical analysis of resonance magnetoelectric(ME) performances in longitude-transverse type magnetostrictive/piezoelectric laminated composite is presented in this paper based on the equivalent circuit method, and the formula of ME voltage coefficient is obtained, which is useful to the composite design and optimization. To evaluate the ME voltage coefficient near the resonance, the losses such as eddy-current loss, mechanical loss, and dielectric loss are considered and formulated, which indicates that the mechanical loss plays the key role in dissipation. The analysis, which takes losses into account, gives better explanations to current experimental values.