Abstract: A hinged joint for adjustably connecting tubular handrails to stanchions or posts, in the assembly of stairway railings, include first and second pivotally connected components, one of the components adapted to be mounted to a stanchion or post and the other to a rail, providing for the adjustable angular offset of the rail with respect to the posts. The pivotal components making up the joint each include a semi-spherical and axially-extending hinge portion, which portions terminate in quarter-spherical end surfaces. The respective hinge portion surfaces are received in corresponding mating quarter-spherical sockets formed in the opposite members. A transverse connector adjustable external to the joint permits the first and second members to be set at a predetermined angular position in accordance with the slope of the rail.