<p>Massage apparatus comprising removable heads (17, 18) making it possible to perform a deep muscular massage and deep transverse or circular frictional movements. The apparatus according to the invention comprises a variable-speed electric control mechanism (11) equipped with a flexible lead (15) connected to a rapid-fastening handle (16) provided in order to receive the massage heads (17, 18). One (17) of the massage heads is connected to the fastening elements and comprises a series of identical cylindrical fingers (32) produced from an elastic material and projecting from the disc. The fingers are uniformly spaced over a circle around the axis of rotation of the said disc and a square central finger (33) extends the said axis of rotation. A second massage head comprises a fixed disc equipped with at least two eccentric and cylindrical rotating fingers (50) produced from an elastic material, the fingers being spaced uniformly with respect to the axis of rotation and comprising the means for imparting a rotational movement in the opposite direction to the ends of the said fingers. <IMAGE></p>