A furniture hinge having a fitment portion in the form of a hinge arm which is hingedly connected to a hinge cup by way of at least one hinged lever, and a damping device for damping a relative movement between the hinge arm and the hinge cup, wherein the damping device is arranged within the hinge cup, wherein the damping device includes a housing with first fastening means and wherein arranged on the hinge cup are second fastening means, wherein the housing of the damping device - with mounted hinged levers and hinge arm - can be inserted from above into the hinge cup and is arranged substantially completely within the hinge cup when mounted, wherein the housing of the damping device and the hinge cup can be connected with each other in this mounting position, characterized in that - the damping device includes a slider (11 a) which is movable relative to the housing, and that the first fastening means are provided on the slider so that the housing of the damping device can be releasably connected to the hinge cup indirectly by way of the slider (11 a), wherein the first fastening means arranged on the slider (11 a) include at least one guide groove for the second fastening means arranged on the hinge cup, preferably for a fastening peg arranged in the hinge cup for fixing the slider, wherein it is preferably provided that the slider (11 a) has an insertion opening by way of which the fastening peg can be arranged in the guide groove, or that - the housing of the damping device include first fastening means in the form of a clip-like or circlip-like spring and that the hinge cup has second fastening means in the form of an elongated recess, wherein in the mounting position of the housing, the clip-like or circlip-like spring is in engagement with the recess of the hinge cup, or that - the first and second fastening means (23, 24) are operative between the housing of the damping device and the bottom of the hinge cup and between the housing of the damping device and a side wall of the hinge cup. - the damping device includes a slider (11 a) which is movable relative to the housing, and that the first fastening means are provided on the slider so that the housing of the damping device can be releasably connected to the hinge cup indirectly by way of the slider (11 a), wherein the first fastening means arranged on the slider (11 a) include at least one guide groove for the second fastening means arranged on the hinge cup, preferably for a fastening peg arranged in the hinge cup for fixing the slider, wherein it is preferably provided that the slider (11 a) has an insertion opening by way of which the fastening peg can be arranged in the guide groove, or that - the housing of the damping device include first fastening means in the form of a clip-like or circlip-like spring and that the hinge cup has second fastening means in the form of an elongated recess, wherein in the mounting position of the housing, the clip-like or circlip-like spring is in engagement with the recess of the hinge cup, or that - the first and second fastening means (23, 24) are operative between the housing of the damping device and the bottom of the hinge cup and between the housing of the damping device and a side wall of the hinge cup.