This paper aims to study the problem of residual life prediction and non-probabilistic reliability analysis for pipeline subjected to corrosion. Based on corrosion pipe bursting equation, the remaining life non-probabilistic reliability analysis model of corrosion pipeline with interval variables was established. The sequential quadratic programming method has been used for solving the non-probabilistic reliability index of corrosion pipes under different service years. Then the relationship curve of the service life and the remaining life reliability of the pipeline corrosion were given. Using the finite difference method, the parameters sensitivity analysis of corrosion piping reliability was performed.