In this paper, the effect of tensile loads single-lap adhesive joints of composite in three dimensions is investigated. First, the model of single-lap joint which consists of two composites and FM73 adhesive, it is modeled in three dimensions by using MATLAB software.Then, the model is analyzed analytically by using the meshless method, which is one of the newest numerical methods of analysis. In this regard, the displacement in each node is calculated by using element free Galerkin method, which is one of the numerical methods of the meshless method.Moving least square regression method is used in this analyze. Then the three-dimensional normal and shear stress distributions in the length and depth of the mid-plane of adhesive layer that subjected to tensile load is obtained. To confirm the results of the meshless method, the model was investigated by using the finite element method and stresses that obtained from this method was compared with the meshless method results.The normal and shear stresses were obtained and compared for eight different orientation of carbon/epoxy composite.