Abstract: The stress analytic method for the plane problem of a double-layered thick-walled cylinder subjected to a type of non-uniform pressure on the outer surface and a uniform radial pressure on the inner surface is given by the complex function method. The stress analytic solution is obtained with the assumption that the contact condition between two layers is pure slip. The distributions of tangential and radial stress along different sections are obtained through an example. The result indicates that: when the uniform radial pressure on the inner surface is small, the tangential stress along the hoop direction in the inner boundaries of two layers form a cosine distribution. The maximum compressive stress occurs in the direction of the minimum in-situ stress and the maximum tensile stress occurs in the direction of the maximum in-situ stress. The distributions of radial stresses along the radial direction at 0#x000b0;, 45#x000b0;, 90#x000b0; sections are respectively similar to #x0201c;M#x0201d;, #x0201c;diamond#x0201d;, #x0201c;W#x0201d; shape. With the increase of the ratio of the Young#x02019;s modulus of the inner and the outer layer, for the inner layer, the tangential stress along the inner boundary increases, the radial stress increases in the direction of the minimum in-situ stress and decreases at the maximum in-situ stress direction. While the opposite stress state happens in the outer layer. If the Young#x02019;s modulus of the inner layer is smaller than that of the outer layer, the stress concentration at the inner surface of the inner layer can be alleviated effectively.