In view of the effective elastic moduli theory[1]. analyzing the thick compositelaminated bars subjected to an externully applied torque are prasented by threedimensional finite element(3-D FEM) and global-local method in this paper.Numerical results involving,he distribution of shearing stresses on cross-section andthe torsional deformation and the interlaminar sirens near to free edges are given. tfnecessary elemeats discretization mad be densely carried ont only in the high stressgradient. region. Obviously, it requires less computer memory and computational time sothat it offers an effective way for evaluating strength of laminated bars torsion with agreat number of layers.