In this study, dynamic behavior of laminated orthotropic plates on elastic foundation is investigated adapting the three-parameter subsoil model. Analysis of the system is performed by using the software SAP2000 combining with MATLAB code for calculation of soil parameters for modified Vlasov model. A computing tool is coded in MATLAB for the purpose, allowing data exchange between SAP2000 and MATLAB via Open Application Programming Interface (OAPI) feature. The consistency of the proposed model is shown by a numerical example taken from the literature. Subsequently, the effects of lamination scheme, various lamination angles, lamination number, subsoil depth, elasticity modulus of subsoil, plate thickness and the velocity of moving load on the behavior of laminated orthotropic plates on elastic foundation are investigated. It is concluded that it is a convenient approach to use OAPI feature of SAP2000 to model the complex behavior of laminated orthotropic plates on elastic soil, under moving loads.