In order to make the laser with V-resonator have good output performance, it is necessary to find the influence rules of cavity parameters on the laser output performance in laser cavity design. Combining the graphic analysis method of V-type folded cavity and the equivalent cavity analysis method of multicomponent optical resonator, the stability of the equivalent coaxial spherical cavity and the output laser beam quality were theoretically solved and analyzed after equivalent approximation of the folded cavity. The internal relationship between the V-type folded cavity parameters and the laser output performance were found. By calculating the given conditions, some results were known. The ideal value range of total cavity length L is 70-80 mm with the optimal value 75 mm when the folding angle θ is equal to 0.15π. The allowable variation range of curvature radius of end mirrors R1 and R2 is 60-80 mm. And the curvature radius of of folding mirror R3 has a minimum value of 45 mm. The laser spot radius and the far-field divergence angle of fundamental mode on the right (left) end mirror will become larger with the increase of g-parameters of left(right) subcavity. The above-mentioned equivalent cavity analysis method and the achieved results can provide an important reference theoretically for the cavity optimization design.