Abstract: In a machine for making sealed containers such as blister packages, the continuous feeding of the films (1, 7) for the formation and sealing of the containers is effected alternately by at least one unit of side clamping grippers (13) and by a unit comprising the stations operating cyclically on the films, namely, a heating station (3), a container-forming station (4), a sealing station (6) and a cutting station (8). The grippers and stations are movable on rectilinear guides (11, 12) disposed parallel to the path of travel of the films, and the operative units are reciprocated over the guides by a mechanism comprising a single cylindrical cam (24) having a closed helical outline or profile that is followed by two cam-followers (21-21') angularly spaced 180.degree. from each other and slidable on stationary guides p parallel to the axis of the cam.