This paper presents a finite element method to simulate two-dimensional crack growth based on the analysis of stress intensity factor. Two criteria are available to determine the direction of crack growth path, maximum stress criterion and strain energy density criterion. In the present calculation, maximum stress criterion was used, as it is reported that difference between two criteria is practically small in a material with Poisson's ratio near 0.3 such as steels. A good coincidence was obtained between numerical calculation and fatigue crack growth experiments on some examples such as inclined slit problems and two-cracks interaction.