The original approach to the problem of designing tunnel linings upon the seismic effects consisting in the determination of the most unfavourable stress state in the every lining normal section at different combinations and any directions of long longitudinal and shear waves propagating in the plane of the lining cross-section is described in the paper presented. The analytical methods and corresponding computer programs based on that approach have been developed for the design of tunnel linings of an arbitrary cross-section shape, circular linings inducting the multi-layer ones of the complex of parallel mutually influencing tunnels etc. Two case histories of applying those methods at the design and construction of the railway tunnel and six parallel vertical turbine shafts of the hydro-electric power- station are given