A percussive massager is provided with a housing, a cushion, a percussive drive unit having a massage head with four spaced apart massage nodes, and a cover surrounding the massager. The nodes diametrically extend outwardly or upwardly from the exterior cushion surface to effect a rhythmic percussion to a user. The cover has at least two apertures through which the nodes protrude, and a flap extending over at least two of the massage nodes. The flap has a fastener to allow for removal of the flap from the cover. A percussive massager is also provided with a motor housing, a motor with a rotary output shaft, an elongated flexible rocker arm pivotally connected to the motor housing, and a massage node connected to an end region of the rocker arm. The flexible rocker arm deflects to provide compliance when the node contacts a massage surface.