Abstract: A curvilinear peristaltic pump for pumping liquids through a resilient tube. The pump includes a curved concave platen against which a resilient tube is placed. A multi lobed cam is positioned adjacent to the platen and tube. A plurality of pump fingers are mounted between the tube and cam in a manner permitting radial movement of the pump fingers. As the cam rotates, the fingers are pressed toward the tube sequentially so as to pump liquid through the tube. The lobe end presses the tube sufficiently to occlude the tube and prevent back flow without over pressing and damaging the tube. A transverse pinch finger is provided on each pump finger, extending from the tube pressing face of each pump finger. At the tube occluding position, the pump finger nearly occludes the tube and the pinch finger completes occlusion without pressing the tube beyond the fully occluded position. A fixed or slidable spring pressed pinch finger may be used.