Abstract: Based on the new version of outer gap model,the expected high-energy emission from anomalous X-ray pulsars(AXPs) has been studied.In this model,the magnetic geometric effects have been taken into account,and the typical fractional size of outer gap is represented by the outer gap size at an average distance 〈r〉,which is the function of the magnetic inclination angle(α).Then the fractional size of outer gap can be expressed as f(P,B,〈r〉(α)),which is the function of the period(P),magnetic field(B) and α.The γ-ray luminosity and energy flux of AXPs have been calculated,then to compare the results with previous calculations and analyze the differences.The expected high energy radiation for some typical AXPs(such as 4U 0142+615(AXP 0142+615),1E 1841-045,PSR J1809-1943) have been studied.