A machine for filling bags with loose products extends along a longitudinal direction of advancing movement of the bags. The machine includes a station for feeding a bag to a pick-up position, and a plurality of filling stations for filling a respective bag, arranged in succession along the longitudinal direction, downstream of the pick-up position. The bags are picked up and transported from one station to another station. The pick-up position and filling stations are arranged at a predefined and equal distance from each other, corresponding to a step between adjacent stations in the longitudinal direction. The bags are transported by performing single translation movements in the longitudinal direction.