This paper presents a boundary element formulation for the computation of moments at internal points of laminated composite thick plates. Fundamental solutions for orthotropic thick plates are obtained using Hörmander operator and Radon transform. So, they do not have a closed form and numerical integration is necessary to compute fundamental solutions in each field point. Integral equations for moments are developed and all derivatives of the fundamental solution are computed. A special integration technique is used in order to improve performance of the method. The obtained results are in good agreement with literature.