1. A process for cutting biological tissue including transparent tissue in ophthalmic surgery, comprising bombarding tissue to be cut with a focussed pulsed laser beam, wherein the power density of the laser beam is greater than 10.sup.12 Watts/cm.sup.2, and the duration of each pulse being between 20 and 400 picoseconds, the pulses being in the form of a train of from 5 to 9 spikes having a total energy of from 2 to 5 millijoules, the beam being passed through an optical focussing system having a strong converging effect.