The present invention relates to a system, a device and a method for leveling floor surfaces by means of a floor grinding machine (10), in which the device comprises a lifting device (90) for adjusting the height of the floor grinding machine above the floor surface during leveling thereof. The system for leveling floor surfaces by means of the floor grinding machine comprises a laser transmitter (60) which is operatively connected to at least one laser receiver (61), which is arranged on the sensing device (70), and the method for leveling floor surfaces by means of the floor grinding machine is performed in that the laser transmitter (60) emits a signal which is received by a laser receiver (61), which is arranged on the sensing device (70) and the height of which is thereby detected and converted into a possible deviation in the level of the floor surface, the height of the floor grinding machine and hence the removal of the floor surface being adjusted in relation to this possible deviation in the level during leveling of the floor surface.