A plant for packaging capsules comprising a main frame (20) on which is positioned a system for moving capsules (30) to make one or more capsules (12) advance along a first predetermined axial direction (A-A) from an inlet (22) to an outlet (24). The plant comprises a plurality of operating stations (200, 201, 203) for packaging a substance into a plurality of capsules (12), wherein the system for moving capsules (30) comprises a movement device that comprises a pair of sliding profiles (36) that extend along said first predetermined axial direction (A-A) and are connected to the main frame (20), a first movable frame (87, 88, 89) movable in transverse direction with respect to the first predetermined axial direction (A-A), a driving member mounted slidable on an upper movable beam (88) of the first movable frame (87, 88, 89) along said predetermined axial direction (A-A) and positioned between the pair of sliding profiles (36). Said driving member comprises a plurality of drive pins (212) particularly suited to drive a capsule transport support (100) containing said one or more capsules (12).