A spinal support, in particular a cervical or lumbar support, with adjustable curvature, has a hard shell with a convex curvature in a longitudinal direction generally conforming to a concavely curved region of a human spine. A stiff resilient conformal tongue on an inner surface of the hard outer shell and one end hinged to the hard shell and an opposite end free to move in a longitudinal guide permitting forcible deformation of the tongue to create an arch with varying degrees of curvature. A retaining mechanism permits locking of the opposite end so as to retain the tongue in a deformed arch configuration with a selected degree of curvature.