The effects of the next-nearest-neighbor (t')hopping on antiferromagnetism were investigated in based on the Gutzwiller mean-field approximation method approach in the two dimensions hole-doped t-t'-J-U model and the renormalized mean field theory. The antiferromagnetism order emerges in the under doped region below the doping levels δ0.1 and the antiferromagnetism extends in the larger doping levels region with the injection of t'.The antiferromagnetism orders are greatly enhanced with the increasing of the next-nearest-neighbor hopping.