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The analytical method for nonlinear stochastic problem of creep solving for a plane taking into account the damage of the material and the third stage of creep is developed. Determinative creep equations are taken in accordance with the energy version of the nonlinear theory of a viscous flow in a stochastic form. Stochasticity of the material is determined by two random functions of coordinates $x_1$ and $x_2$. Linearization of the problem relative to the nominal stress on the basis of smalldoaj:8575e7be08d34ea8866b57ffcfe12551 fatcat:dhlc7a6t4jgs7mgcprxba4lwqq