Magnetotherapy and compressive microvibration apparatus for the tissues comprising a handpiece constituted by a head portion, by a body and by a handle, in which in the head portion and in the body there is a recess adapted to house a rotor adapted to carry out work in the radial direction with respect to the axis of the access hole made on said head portion, in which said rotor has the form of a hollow cylinder, having on the lateral surface a plurality of balls that are free to rotate on themselves and inserted on pins by means of the longitudinal central channels, in which each pin is common to at least four balls and in which the rotation axis of the balls and of the rotor coincide with that of insertion in the recess of the handpiece, in which said pins are constrained respectively to a head ring nut and to a ring nut of the handle, in which said ring nut of the handle comprises a central fitting system adapted to be inserted on a rotation mechanism constituting part of an electric motor housed within said handle, in which said electric motor is electrically connected, by means of isolating and tightening support means, to a cable in turn connected to a computer terminal, in which the rotation of the rotor is such to cause the passive rotation of each single ball on itself each time that this comes into contact with the tissue of the patient, by means of a rectangular opening made on said body, in which on the body, in a position opposite that of the rectangular opening, an interface is attained comprising a display, a plurality of indicators and a plurality of buttons, in which the head portion comprises a flange having one face adapted to allow the rotation of said head ring nut and having the other face constrained to a cap, in which said cap is removable and is connected to the head portion by means of at least a common pair of reversible connection systems and characterized in that said balls are made of elastomeric material having different grades of elasticity with an internal structure constituted by multiple longitudinal internal channels attained parallel around said longitudinal central channel, in that the presence of said longitudinal internal channels is adapted to confer to said balls viscoelastic properties that are defined and exploited for controllably absorbing the pressure transferred by the handpiece onto the tissue under treatment of the patient, in that in the cavity of said rotor there is an inducer device constituted by at least a solenoid with cylindrical shape constrained at one end to a rotary bearing, in that said rotary bearing is constrained to said head ring nut, in that on said cap there is a pressure sensor adapted to detect the pressure of the rotor exerted by the balls on the tissue of the patient during the treatment, in that said pressure sensor is connected with an electronic control unit by means of a connection device constituted by a connector provided with a plurality of pins, in that in proximity to the rotation mechanism there is a revolution sensor adapted to detect the revolution of the rotor and to send the data to said electronic control unit, in that said electronic control unit is controlled by the computer terminal both by means of a wiring system which passes by means of said cable and by means of a wireless connection obtained by means of a wireless card, in that said electronic control unit is situated in proximity to and behind said interface and manages, by means of said connection device, the power supply to said inducer device, in that at the area of the body comprised between the handle and the rectangular opening, there is a temperature sensor connected to the electronic control unit adapted to detect zones of greater or lesser perfusion of the tissue of the patient during the execution of the treatment.