This study investigates the bending behavior of laminated composite beams by using Peridynamic Least Squares Minimization (PDLSM) approach and Timoshenko Beam Theory (TBT). The PDLSM converts any arbitrary order derivatives of a function in their nonlocal forms with high accuracy. Therefore, it is highly suitable for the solution of TBT equilibrium equations. The influence of span-to-thickness ratios, loading and boundary conditions, as well as laminations on the stress and deformation fields of laminated composite beams, were investigated in detail. The accuracy and robustness of the present approach namely Also, the PDLSM was used for the transverse shear stress calculations from the stress equilibrium equations. It was demonstrated that the PD-TBT successfully predicted the deformation and stress fields in the laminated beams.