The invention discloses an arc punching device for both ends of a circular tube and an arc punching method thereof. The arc punching device comprises an arc punching seat, a feeding rotating mechanism, and a pulling arc-punching mechanism; and a limiting sleeve is arranged in the arc punching seat, the feeding rotating mechanism comprises a base, a rotating cylinder, a connecting block, a roller,a spring, and a rotating cam, the pulling arc-punching mechanism comprises a cylinder body, an arc punching rod rotatably arranged in the arc punching seat, and a rotor and blades are arranged in thecylinder body. The arc punching method comprises the following steps that a pipe fitting is clamped and limited in a clamping mechanism, the rotating cam rotates, and one end of the pipe fitting is inserted into the limiting sleeve of the arc punching seat; the cylinder body is fed with oil, the rotor drives the arc punching rod to swing, and one side of one end of the pipe fitting is arc-punchedby cutters; the cylinder body is fed with oil in the backward direction, and the other side of one end of the pipe fitting is arc-punched by the cutters; and the feeding rotating mechanism exits, a rotating motor dives a worm to rotate, the worm drives a turbine ring to rotate by 90 degrees, the rotating cylinder drives the pipe fitting to overturn by 180 degrees, and the other end of the pipe fitting is arc-punched.