An opthalmological apparatus includes a base station having a light source for generating light pulses, and an application head mountable on an eye having a light projector for the focussed projection of the light pulses for punctiform breakdown of eye tissue. The application head has drivers for moving the light projector in a feed direction and in a first scanning direction. A scanner is arranged in the base station in order to deflect the light pulses in a second scanning direction. The opthalmological apparatus includes an optical transmission system for transmitting deflected light pulses from the base station to the application head, and for superimposing the light pulses deflected in the second scanning direction onto the movement of the light projector in the first scanning direction.