A machine for making filter bags for infusion products starting from pieces of filter material each having two free ends (1d, 1e) and a intermediate portion, between each free end (1d and 1e) and the intermediate portion having, respectively, two chambers (1b, 1c) containing a corresponding dose of product; the pieces advancing along a feed line, comprising a first carousel for continuous rotary movement about a first axis of rotation and having a circumferential surface extending parallel to the first axis of rotation; a plurality of first gripping means positioned along, and continuously movable with, the first movement carousel, each first gripping means being configured for holding a respective piece of filter material being formed; the plurality of first gripping means being distributed and equidistant along the entire circumference of the first carousel and positioned on the circumferential surface of the first carousel; characterized in that it comprises: - a plurality of first operating stations positioned along, and continuously movable with, the first movement carousel, each first operating station being associated with a corresponding first gripping means and being configured to operate on the piece of filter material in order to form, at least partly, a filter bag along at least one predetermined angular stretch of rotation of the first movement carousel; the plurality of first operating stations being distributed and equidistant along the entire circumference of the first carousel and positioned on the circumferential surface of the first carousel; and - a plurality of first translation devices, associated with the first movement carousel and configured for translating corresponding first gripping means along a direction parallel to the first axis of rotation of the first movement carousel to bring the corresponding first gripping means to the respective pieces of filter material at least for a stretch of the feed line; the plurality of first translation devices being distributed and equidistant along the entire circumference of the first carousel; each translation device being positioned, at least partially, on a corresponding operating station, to define at least a part of the gripping means. - a plurality of first operating stations positioned along, and continuously movable with, the first movement carousel, each first operating station being associated with a corresponding first gripping means and being configured to operate on the piece of filter material in order to form, at least partly, a filter bag along at least one predetermined angular stretch of rotation of the first movement carousel; the plurality of first operating stations being distributed and equidistant along the entire circumference of the first carousel and positioned on the circumferential surface of the first carousel; and - a plurality of first translation devices, associated with the first movement carousel and configured for translating corresponding first gripping means along a direction parallel to the first axis of rotation of the first movement carousel to bring the corresponding first gripping means to the respective pieces of filter material at least for a stretch of the feed line; the plurality of first translation devices being distributed and equidistant along the entire circumference of the first carousel; each translation device being positioned, at least partially, on a corresponding operating station, to define at least a part of the gripping means.