The design and characteristics of the multipasses resonator with two annular spherical mirrors are described in this paper. The sizes of the beams at different folding points on the annular mirrors surfaces are periodical changed. The active volumes of the resonator are much smaller compared with the case in which all th?folding mirrors are flat. So for a coaxial discharge laser with annular gain regions, this kind of resonator is more suitable for the case of small discharge gap.