A multi-point support system with self-aligning trunnions to carry, on a cradle frame, a rotatable cylindrical drum having a pair of trunnion rings spaced along a central longitudinal axis. A thrust bearing connected to the frame engages a trunnion ring to accommodate any horizontal thrust load for an inclined cylindrical drum. Each self-aligning trunnion includes a base plate on which is mounted a trunnion roller with an axis of rotation substantially parallel to the central longitudinal axis of the cylindrical drum. A pair of bearing supports are connected to the base plate transversely with respect to the longitudinal axis of the drum in order to permit arcuate movement of the base plate about one bearing support and to permit tilting movement of the base plate about a transverse axis through the bearing supports. The arcuate and tilting movements of the base plate permit the trunnion roller to maintain full tangential contact with the trunnion ring.