Abstract: In a peristaltic pump comprising a pump tube with elastically deformable wall, which pump tube is arranged in a pump housing and is fitted into the pump housing with a portion which is curved in a part-circular configuration around a shaft of a rotor of the peristaltic pump and at a radial spacing from the shaft, the cross-section of the pump tube being partially varied during the conveying operation with a reduction in the internal volume. The connection ends of the pump tube are accessible from the exterior and are fixed in the region of wall connections or the like members of the pump housing. The tube end of the pump tube is clamped in a wall connection approximately between the inside diameter (d) of the pump housing and a tangent (Q) to the inside surface of the wall of the pump housing through the intersection (N) thereof with the pump diameter (D) which is approximately parallel to the center lines (M) of the wall connections.