In this paper, composite parts jointed with insert double-lap joint (DLJ) subjected to tensile load were analyzed by using 3-D finite element method (FEM). In the analysis, the composite parts were carbon/epoxy (T 700) with different fiber orientation angles and the adhesive was DP 410. The models for the numerical analyses were generated by using the ANSYS 14.5 software package. The finite element analyses (FEA) were carried out to predict the failure loads. Stress at x, y, and z directions; shear stresses; and the von-Mises stresses on adhesive were obtained at the time of the failure for predetermined parameters. Consequently, the effects of orientation angles, overlap widths and length, and adhesive layer were examined. The most effective parameters were determined for composite parts adhesively bonded with the double lap joint.