A peristaltic pump comprising a plurality of pressors (1, 2, 3) which compress a tube portion according to an orderly sequence, capable of determining a fluid flow inside said tube portion by means of the relevant compression executed on the tube portion, wherein the pressors (1, 2, 3) are balancing or tilting pressors pivoted around a mutual axis (x) and operated by corresponding cams which push said pressors (1, 2, 3) against a plane or reaction element disposed opposed to said pressors (1, 2, 3) so defining, together to the same pressors (1, 2, 3) a seat for the tube portion which, during the pumping action, is pressed between the same pressors (1, 2, 3) and the plane or reaction element and characterized in that - said corresponding cams are disposed on a corresponding cam axis, wherein a shaft passes through said mutual axis (x) in correspondence of the proximal end of each of said pressors (1, 2, 3), the distal end of said pressors being destined to act on said tube portion; - the pump is supported by a support structure which has a box-like shape and which is upperly closed by a cover, said cover being provided with one or more holes for the passage of said pressors (1, 2, 3) and said reaction elements; - said pressors (1, 2, 3) consist of a multi-prong lever (92; 93) having a prong structure which allows the passage of other levers destined to support the reaction elements; said other levers being connected to the reaction element in their distal end, while at their proximal end are hinged around corresponding pivots disposed on another axis (h) which is parallel to said mutual axis (x) of pressors (1, 2, 3); - small shafts are provided on the sides of said other levers which support said reaction elements; said small shafts being housed in corresponding seats presented by the structure; - a central shaft is disposed parallel to said shaft passing through said mutual axis (x) and to said pivots; said central shaft being vertically slidable in a corresponding slot seat of the support structure; - two couples of arms connect said central shaft to a couple of said other levers by means of said pivots which are hinged on the central shaft; - the motion of said central shaft with its sliding along the slot seat causes the reaction elements to move away from said pressors (1, 2, 3); - the plurality of pressors (1, 2, 3) comprises a central pressor and two lateral pressors (1, 3), the lateral pressors (1, 3) by alternatively compressing a very short tract of the tube so as to completely occlude it, define corresponding inlet and outlet valves; wherein the central pressor extends parallel to said tube for a greater length with respect to the lateral pressors (1, 3) and compresses the tube so as to produce the volume variation which determines the pumping effect, leaving a dead space. - said corresponding cams are disposed on a corresponding cam axis, wherein a shaft passes through said mutual axis (x) in correspondence of the proximal end of each of said pressors (1, 2, 3), the distal end of said pressors being destined to act on said tube portion; - the pump is supported by a support structure which has a box-like shape and which is upperly closed by a cover, said cover being provided with one or more holes for the passage of said pressors (1, 2, 3) and said reaction elements; - said pressors (1, 2, 3) consist of a multi-prong lever (92; 93) having a prong structure which allows the passage of other levers destined to support the reaction elements; said other levers being connected to the reaction element in their distal end, while at their proximal end are hinged around corresponding pivots disposed on another axis (h) which is parallel to said mutual axis (x) of pressors (1, 2, 3); - small shafts are provided on the sides of said other levers which support said reaction elements; said small shafts being housed in corresponding seats presented by the structure; - a central shaft is disposed parallel to said shaft passing through said mutual axis (x) and to said pivots; said central shaft being vertically slidable in a corresponding slot seat of the support structure; - two couples of arms connect said central shaft to a couple of said other levers by means of said pivots which are hinged on the central shaft; - the motion of said central shaft with its sliding along the slot seat causes the reaction elements to move away from said pressors (1, 2, 3); - the plurality of pressors (1, 2, 3) comprises a central pressor and two lateral pressors (1, 3), the lateral pressors (1, 3) by alternatively compressing a very short tract of the tube so as to completely occlude it, define corresponding inlet and outlet valves; wherein the central pressor extends parallel to said tube for a greater length with respect to the lateral pressors (1, 3) and compresses the tube so as to produce the volume variation which determines the pumping effect, leaving a dead space.