Abstract: The present paper, by using Tang's multi-variable quasi-conforming and penalty element technique, estabilishes a general propose shear flexible triangular finite element for laminated composite plates and/or shells, which can be afforded for stress and stability analysis of practical, engineering laminated composite structures. The element consists of two-rotation and three displacement variables as generalized degrees of freedom per node. Numerical examples for local stability analysis are presented for isotropic plates and laminated composite isogrid plates and shells as well. Based on the examination of numerical results, the following conclusion are given:(1)The shear effect on the critical load of laminated composite plates would be gradually strengthened as the ratio of thickness to span of the plate or the ratio of moduli E1/E2 increases.(2)The shear effect on the critical load of laminated composite plates would be gradually strengthened as the supporting constraints along the edge of plate are strengthened.(3)The shear effect on the critical load of the triangular laminated composite plate would be stronger than of the square laminated composite plate with the same ratio of thickness to span, moduli . E1/E2, and the same supporting constraints along the edge.