It has been obtained that an optimal resonator insensitive to thermo-perturbation can be singled out from the common resonators insensitive to thermo-perturbation, and it s combination with the optimal resonator insensitive to axial shift of the mirror is only the optimal dynamic stable resonator. The criteria of the optimal resonator insensitive to thermo-perturbation and the optimal dynamic stable resonator have been dofined by graphic method; at the same time the numerical analyses for such optimal dynamic stable resonator are given.