The present invention relates to a massage machine capable of giving acupressure and beating, and more specifically to a massage device module having elastic ring-shaped elastic acupressure members, which comprises: a vibration plate connected to the lower surface of the massage device module to have a first hinge bracket formed on the lower surface thereof, into which a hinge shaft is inserted; a support plate axially coupled to both ends of the hinge shaft of the vibration plate to have a second hinge bracket on the top surface thereof in order to let the vibration plate tilt to the left or to the right, thereby generating vibration; a beating massage module installed and fixed on one side of the top surface of the support plate to beat a body of a user by vibration when the elastic acupressure members of the massage device module rotate while the vibration plate is tilted to the left or to the right by the support plate, thereby generating vibration; and a shock absorption module installed and fixed on the other upper side of the support plate to absorb shock from the vibration plate, wherein the elastic acupressure members apply elasticity in both a vertical direction and a horizontal direction while acupressure tools rotate, thereby enabling the massage machine to give acupressure and massage to the body of the user such as a neck, a shoulder, a back, an arm, a forearm, a waist, thigh, the calf and the like and, at the same time, the elastic acupressure members are moved back and forth to generate vibration, thereby enabling the massage machine to give beating to the body of the user. Accordingly, acupressure, massage, beating and heating can all be provided to maximize a massage effect.본 발명은 지압과 두드림이 가능한 마사지 장치에 관한 것으로, 상세하게는 탄성링형 탄성 지압 부재를 구비하는 안마기 모듈에 있어서, 상기 안마기 모듈의 저면에 결합되고, 저면에 제 1힌지 브라켓이 형성되어 힌지축이 삽입되는 진동 플레이트와; 상기 진동 플레이트의 힌지축의 양단과 축 결합되어 상기 진동 플레이트가 좌우로 틸팅되면서 진동을 발생시키도록 상면에 제 2힌지 브라켓이 구비되는 받침판과; 상기 받침판 상면 일측에 고정 설치되고, 상기 진동 플레이트를 상기 받침판에서 좌우로 틸팅시키면서 진동