Apparatus for moving a taken on a furniture body of a furniture item furniture part, the apparatus comprising guide means comprises, with which in the mounted device to the furniture, the furniture part from a closed position to an open position relative to the furniture body and is movable back and forth, wherein the guide means comprises a first and a second fitting , said in the state arranged on the furniture, the first and second bracket spaced from one another is arranged on the furniture carcass, wherein the apparatus mounting means for mounting the first and the second bracket has on the movable furniture part, wherein the mounting means are mounted on the movable furniture part. The device is characterized in that the mounting means have a first assembly unit with a floating bearing and a second assembly unit with a fixed bearing, wherein in the state arranged on the furniture part, the two assembly units spaced from each other are mounted on the furniture part, and wherein in the arranged state of the first fitting to the first mounting unit is coupled and the second bracket is coupled to the second mounting unit, so that in the assembled state of the device to the furniture, a position of the furniture part is relatively free of tension adjustable to the furniture body by adjusting means on the fixed bearing by a positional displacement of the furniture part is compensated for by the floating bearing.