This paper presents how to use finite element procedure ABAQUS to conduct the fracture finite element analysis for tee with longitudinal through-wall crack,and focuses on the establishment of computation model and calculation method of J-integral.The finite element computation results are compared with the therotical results for the straight pipe,which showes that the two results are almost the same.This indicates that the method,input and singular element which used to calculate J-integral are correct.The methods and processes can be used to analyze J-integral of tee with longitudinal through-wall crack by ABAQUS.