The invention relates to a mold for the manufacture of curved insulating panels, which comprises an upper half-mold (2) and a lower half-mold (3) opposite each other. The structure of both said half-molds is formed by a respective chain of modular frames (5) hinged together and having a pyramidal or similar shape, which are connected at their tips by actuators. These actuators, when they are operated, vary their length and cause the frames to rotate with respect to each other, thereby curving the surface of the half-molds acting on the panels to be manufactured. In this way it is possible to produce panels with various radii of curvature using a single mold. The invention also includes a press for use with the abovementioned mold.