Furniture hinge with damping and/or braking device in alternative to those already existing and capable of guaranteeing an improved efficiency during the closing or opening operation of the doors, or other furniture parts, thanks to an improvement of the kinematic motion for transmitting motion from one of the rockers to the damping elements. The improved efficiency of this hinge is also obtained by increasing the friction surfaces with a viscous medium present in suitable areas of the hinge and by allowing regulation of the trend of the angular velocity of a circular shaped element, for example a disc, which acts as braking element in contact with the viscous medium.