The invention is a device for a movable furniture part, such as a door, shutter or drawer, that includes a first attachment part fitted on a basic structure and connected, via an articulation mechanism, to a second attachment part fitted on the movable furniture part that pivots the movable furniture part, and a damping device for damping the relative movement during pivoting of the movable furniture part. The damping device includes a damper housing and an internal part accommodated on the damper housing that are movable in relation to one another, where the damper housing or the internal part serves as a contact part which contacts, at least temporarily, a portion of the device during pivoting of the furniture part. An adjusting arrangement adjusts the damping. The adjusting arrangement is mounted to a predefined fitting position that is changeable and the damping device is secured in the predefined fitting position.