Abstract: Based on the viscous-elastic theory, the viscous-elastic calculation model is established. The interaction mechanism among the outer shaft lining, the frozen soil wall and the surrounding earth in deep alluvium is considered in the model. The creep property of frozen soil wall is also taken into account. The formula for load of frozen soil wall is derived and the corresponding expressions of stress distribution are obtained. At the same time, the formula of the frozen pressure on the outer shaft lining and the corresponding expressions of stress distribution are also derived. The results of the frozen pressure on the outer shaft lining from the theoretical formula of the present paper are consistent with those measured in situ. The study will provide a reference for the design of the outer shaft lining in the frozen deep alluvium.