In this paper, we combine the Carrera’s Unified Formulation and a radial basis function (RBF) collocation technique for predicting the static deformations and free vibrations behavior of thin and thick cross-ply laminated plates. Here, the Reissner-Mixed Variational Theorem is used together with the RBF collocation to achieve a highly accurate approach. The accuracy and efficiency of this collocation technique demonstrated through numerical examples.