A dual-head, pulseless peristaltic-type pump comprises a pump housing, cover, two compressible tube chambers and two sets of rotatable occluding members. An off-center drive axis driven by motor or other rotational mechanism rotate inner large diameter disk. Balls or rollers between inner disk rotate in one direction from center drive axis where the outer ring is stationary and occludes the tube by linear motion without friction between tube and outer ring. The linear roller occluding motion transfers liquid or slurry from inlet to outlet of tube. In one embodiment, two separate sets of occluding members are installed 180 degree opposite to each other such that pulsations are compensated for and canceled out.