A three-dimensionally adjustable hinge receives a pivotable element. A housing has an adjustable pivot support block inside adjusted in two directions by bolts extending through different walls of the housing and threaded into the pivot support to move the block in two different directions by turning the two different bolts. A supporting wedge with a threaded bolt moves the block the box-like enclosure in a third direction. Alternately, stacked adjusting plates with longitudinal bolts threaded through threaded openings in center sliders move the sliders in center slots aligned in different directions in the different plates to adjust a pivotable element attached to a top plate in two different directions. The plate assembly is pivotally attached to a base by an adjustable height bolt assembly for adjustment in a third direction.