A design method was proposed for the steel liner-anchor system on an interior wall of a prestressed concrete vessel of a LNG above-ground tank. The stress analyses were performed on the liner-anchor system to determine the forces on the liner and displacements of the anchor under concrete imposed strain. The model for the analysis consists of a series of springs that represents ideal flat liners, bent plates and anchors. An allowable value was given for the anchor displacement and the required diameter of the stud was derived to prevent fracture of the stud anchor. Elastoplastic analyses were performed on the liner plates under prescribed displacement to calculate the surface strain of the liner plates. The allowable value was determined for the liner surface strain and the lower limit value of the anchor spacing was determined to avoid rupture of the liner.