Peristaltic pump (1), for example for a dialysis machine, comprising, on the one hand, a plate, called a pump body (3), comprising a substantially flat surface (32) against which a tube is intended to be positioned flexible fluid passage (5), and, on the other hand, a force application system (2) comprising a plurality of support members (7), such as rollers, and displacement driving means of the said organs of support (7) that allow to move the indicated support elements against the tube to deform it against the indicated pump body (3), the indicated pump body (3) being mounted mobile in relation to the force application system (2) between a separate position of said force application system (2), and an approximate position of said force application system (2), characterized in that said pump (1) comprises means (35) for determining a representative magnitude of the force applied on the tube (5), in the positioned state of said tube (5) between the force application system (2) and the pump body (3), because said pump (1) also comprises means of pilot (36) of the displacement of the pump body (3) in relation to the system (2) as a function of the indicated magnitude determined, and why the indicated pilot means (36) comprise definition means (360) of a value of setpoint of the indicated magnitude, and regulation means (361) configured to regulate the displacement of the pump body (3) in the sense of an approach or a distance from the force application system (2) depending on the determined value of the indicated magnitude to reach the mentioned setpoint value.Bomba (1) peristáltica, por ejemplo para máquina de diálisis, que comprende, por una parte, una placa, llamada cuerpo de bomba (3), que comprende una superficie sustancialmente plana (32) contra la cual está destinado para ser posicionado un tubo flexible (5) de paso de fluido, y, por otra parte, un sistema (2) de aplicación de fuerza que comprende una pluralidad de órganos de apoyo (7), tales como rodillos, y