Apparatus for aligning a refining disc is a refiner is disclosed, the apparatus including a first wedge slidable along a support for the axle package of the refining disc, a second wedge disposed between the first wedge and a bearing housing in which the rotatable axle of the axle package is journalled, the second wedge being slidable transversely to the slidable movement of the first wedge, a controller for controlling displacement of the first wedge including an actuator at one end of the support and a control axle extending from the actuator to the first wedge, the control axle being rotatable and rotatably secured to the first wedge whereby operation of the actuator causes rotation of the control axle, which in turn causes displacement of the first wedge which causes transverse displacement of the second wedge.