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By taking into account the transverse stresses produced in both the transversely poled piezoelectric plate and the longitudinally magnetized magnetostrictive plate, we develop an 2D stresses magnetoelectric (ME) effect theoretical model. The ME voltage expressions are given by combing constitutive equations and equation of motion for the ME element, accompanied by boundary conditions and charge source equivalent circuit. Theoretical results show the detailed relationships among ME voltage coefficient, geometric parameters, and physical parameters of the composites, as well as the circuit parameters. Compared with 1D stresses theory, the 2D stresses theoretical results are in better agreement with the experimental data.