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The finite probability information refers to the incomplete probability information,which caused that the reliability indexes of the product cannot be accurately calculated based on the existing information. The paper,using reliability design theory and sensitivity analysis method,set rated pressure as threshold value,established the reliability design model of hydraulic pipeline with finite probability information,and deduced the matrix formula of reliability and reliability sensitivity of hydraulic pipeline,carried on the reliability and reliability differential sensitivity analysis methods with finite probability information of hydraulic pipeline,determine the reliability differential sensitivity of hydraulic pipeline by simulation,and put forward the changing rule of reliability and reliability sensitivity with respect to the parameters. The results indicated that the influence of design parameters change for the reliability of hydraulic pipeline. At the same time,it assists to solve the reliability engineering problems of Hydraulic pipeline under fluctuation impact environment. It realizes the reliability sensitivity of the Hydraulic pipeline under hydraulic surge impact environment through a computer program.