In this paper, Based on the original operating parameters of the Coke tower which works in the PetroChina Dushanzi Petrochemical Corp, and the skirt - tower body support section as the research object, using stochastic finite element method and Monte Carlo method, 60 groups of pressure, temperature are extracted randomly as variables in the original operating parameters curve, the change of the distribution function of temperature and pressure are analysed and established, and 200 groups of random pressure, temperature variable array is produced based on this; The maximum stress in dangerous section corresponding to each array is obtained by using the finite element method, the stress distribution of the probability density function is obtained; The strength reliability analysis of dangerous section is completed by using stress strength interference model and combining with the material intensity distribution function. The analysis results provide the basis for the tower life prediction and predicting repair, and provide a method for reliability analysis of the equipment whose large size is hard to measure and the working environment is hard.