Floating floor (10) with at least one vibration-damping support (1) that is placed on a solid underground (5), whereby the support (1) comprises a relatively rigid support slat (3) provided with discrete vibration-damping elements (2) on one side, distributed at a regular distance from each other over the support slat (3), and whereby the support slat (3) is provided with a vibration-damping strip (4) on a second side opposite the first side extending in the longitudinal direction of the support slat (3), such that the support slat (3) is situated between the vibration-damping strip (4) and the discrete vibration-damping elements (2) that are placed between the floor (10) and the underground (5), such that the floor (10) rests on the underground (5) by means of the vibration-damping strip (4), the support slat (3) and the discrete vibration-damping elements (2), whereby no direct mutual contact is made between the support slat (3), the floor (10) and the underground (5).