A research of new connection method due to axially static loading on the cold-formed steel in civil engineering structures has been investigated. Joint failure was modeled with a cohesive zone model (CZM) approach where the governing parameters were determined from fracture mechanics test specimens. The incremental in capacity strength of coldformed steel single lap joints (SLJs) was successfully predicted. Video microscope records carried out on the failure surface of the joints in experimental works. The modeling results have a good correlation with the experimental works. Strength capacity deviation of experimentation to FEM are 21.93%, 18.5%, 36.3%, 12.47% and 4.03% for srew, epoxy resi adhesive, polyester resin adhesive, combination screw with epoxy resin and combination screw with polyester resin connections.