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Delamination or interlaminar fracture is a model of damage that often occurs in laminate composites. Delamination occurs due to several factors such as high interlaminar stress, stress concentration at the crack location, imperfections when manufacturing and impact stress. Finite element (FE) analysis using cohesive zone model (CZM) is a method commonly used to investigate delamination. In this study, delamination on 3D double cantilever beam (DCB) specimens with mode-I delamination is investigated using interface elements in ANSYS Mechanical APDL software. The element has 8-nodes connecting two surfaces with a bi-linear formulation. Simulations of delamination on carbon fiber composite laminate material T300/977-2 and HTA/6376C are carried out. Effect of number of elements variations on the critical forces of the composite materials is examined. The mesh variations include coarse, fine, and finest meshes. The simulation results show that the critical force values can be obtained accurately using finest mesh. This study also gives a reference number of elements suitable for 3D simulation of delamination in the composite laminates.