Abstract: Based on the equivalent remote stress method for J integral evaluations and its equivalent remote stress eff merely related to an applied load, not related to the load types, such as a tension load or a bending load, the present paper derived out the J integral calculation equation of the structure with cracks under combined tension and bending deformations. The present method directly uses the available h1 solutions of the structure with cracks under a pure tension loading and a pure bending loading. It saves the time cost in solving the h1 solutions of cracks in the structure under combined tension and bending loads. It could be applied to any stress-strain relationships of materials, including R-O material and non-R-O material under monotonic increasing loadings. Its solution procedure is rather simple and numerical results are rather accurate. All the numerical results solved by the method are compared with FE results.