A massage appliance capable of synchronous kneading and tapping includes: a power-driven vertically-moving device, including an outer portion having therein a sliding channel, and a vertically-moving rack disposed alongside the sliding channel a device capable of synchronous kneading and tapping, including a housing portion having therein a power source for driving a first transmission device whereby a second transmission device is driven to drive a rotational inclined surface structure for driving an oscillating arm to oscillate laterally an oscillating arm coupled to a massage head support, two infrared lamp plates and two massage heads, causing the massage heads to perform kneading-based massage, the first transmission device driving a third transmission device, whereas the third transmission device driving an eccentric cam, wherein an eccentric spindle is connected to a lever weight to pull the massage head support to perform tapping, thereby allowing the two massage heads to perform tapping-based massage.
