A peristaltic pump (1) of the type comprising a stator which supports a portion of tube or sub-pump tube intended for the passage of a fluid to be pumped and a pressor element adapted to exert a pressure on said sub-base to determine a cyclical narrowing of the latter for the movement of the fluid inside it; the pump (1) comprises: —a support base (2) provided with first locking means (22) for a body defining the stator; —a stator (3), constituted by a hollow body provided with an internal groove (37) which extends for at least 360° and which accommodates said sub-pump tube (7), keeping it exposed towards the inside of the same stator, and provided with seconds locking means (30) complementarily shaped with respect to said first locking means (22) to allow locking of said stator (3) on said base (2); —a single pressor element (4) provided with motorization means for rotation about its own axis, so as to make it move along a circular trajectory when it is in contact with said sub-pump tube (7); and in that the value of the compression of the tube (7) is different along the trajectory followed by said pressor (4) so as to determine the gradual compression, the gradual distension and the total occlusion and allow the peristaltic action on the tube (7) same.