A bi-directional continuous peristaltic micro-pump is described. The micro-pump comprises: a substrate, an actuating mechanism and a fluid channel. The actuating mechanism comprises: a first slanted membrane the thickness of which increases progressively from left to right, a first chamber formed between the first slanted membrane and the substrate; and a second slanted membrane, the thickness of which decreases progressively from left to right, the second slanted membrane being located to the first slanted membrane's right side and parallel to the first slanted membrane with a space between the two membranes, a second chamber formed between the second slanted membrane and the substrate. By inflating the first chamber and the second chamber, the first slanted membrane and the second slanted membrane generate a continuous sweeping motion to force the working fluid to flow.