Based on the finite element theory, the infinite plate containing hole is analyzed in the stretching circumstances. The maximum stress was regarded as a random output variable, when the plate length, the plate width, the plate thickness, the elastic modulus, uniform distribution of load and the diameter of the hole were randomized, and were considered as a random input variable. Supposed all input variables are normal distribution. After one hundred times Monto Carlo sampling is implemented, the reliability and sensitivity of infinite plate containing hole can be obtained.