Abstract: A guided member is engaged with a guiding member and the guided member and guiding members are movable relative to each other. A pair of planar, parallel guide surfaces on the guide member are engaged by a pair of bearings mounted on the guided member. One of the bearings is resiliently biased into engagement with the guide surface which is less precisely formed so that irregularities in that guide surface or lack of parallelism between the guide surfaces is accommodated by displacement of the biased bearing. The bearings are mounted on bearing supports which depend from either side of a cross piece. The cross piece is secured to the guided member such that a portion of the cross piece is uncoupled from the guided member and is free to be deflected, thus providing the biasing for the biased bearing without transmitting stress to the guided member. Preferably, the apparatus is employed in a machine tool to guide the movement of a worktable.