An orthopedic wrist splint with an initially generally planar malleable metal core covered by a layer of synthetic foam padding material on each of its opposite sides and protected by an outer cover of fabric. In one embodiment, depending on the orientation of the splint relative to the patient, the splint provides greater or lesser firmness of support when the core is bent to conform the splint to the patient's hand, wrist, and forearm. In another embodiment, a central part of the length of the splint lacks the metal core and is flexible, so that two parts of the splint are easily used on opposite sides of an arm or ankle, with the central part comfortably bent around an elbow or a foot, and with the splint firmly supporting the limb.