This paper presents a meshless local method based on Trefftz formulation for bending analysis of laminated composite plates regardless of the lamination scheme. The plates are modelled based on Mindlin’s first order shear deformation theory. In the proposed method, the solution domain is discretized by two sets of point grids, namely the nodal grid that contain the degrees of freedom (DOFs), and the intermediate point grid that have no DOFs, but are only used for imposition of the governing equations and the boundary conditions. A subdomain, named cloud, is considered corresponding to every node, which contains a definite number of its adjacent nodes. The problem solution is constituted of homogeneous and particular parts within the cloud, where exponential basis functions are used to interpolate each part. The implemented formulation is capable of extending continuity of the DOFs up to desired order of derivatives, by only interpolating the intended DOF by means of its corresponding DOFs from the nodes in its close neighborhood within the cloud in a weighted residual approach, without introducing extra DOFs. The overlap of adjacent clouds integrates the solution function over the entire domain. To investigate the applicability and accuracy of the proposed method, numerical examples will compare the extracted solutions by their exact counterparts or available data in the literature, which reflect perfect performance of the method.