Multi-needle quilting knotted-stitch machine with lower stitching elements having rotating hooks, the machine comprising an inlet assembly for the controlled feed of the textile material to be quilted, a stitching assembly including upper stitching elements and lower stitching elements and an outlet assembly for the collection and possible measurement and cutting of the quilted product. The upper stitching elements including at least two parallel bars arranged lengthwise and supporting, in a position separated lengthwise, the relative stitching needles, the lower stitching elements of rotating hooks being organized in longitudinal rows mating with the position of the relative needle-carrier bar, the position of each needle corresponding to the position of a respective rotating hook. The quilting machine including the rotating hooks assembled, spaced lengthwise at a defined assembly distance, on respective faces of at least two longitudinal bars, at least one of the hook-carrier bars being able to be displaced lengthwise with respect to the other bar by a value (D) equal to a desired sub-multiple of the assembly distance of the rotating hooks on the relative bar. IPC D05B.