The installation comprises an optic fiber laser device (12) arranged to provide laser pulses with a frequency of 10-200 kHz, and a machining head (22). The fiber optic laser device is controlled so that the laser pulses have a peak power of 1000 W, two times the maximum average power of the laser device and a duration of 1-1000 ns, operates in a quasi continuous wave mode and in a triggered mode (Q-Switch), and includes a source of initial seed laser pulses and a middle optical fiber amplifier outputting the laser pulses. The installation comprises an optic fiber laser device (12) arranged to provide laser pulses with a frequency of 10-200 kHz, and a machining head (22). The fiber optic laser device is controlled so that the laser pulses have a peak power of 1000 W, two times the maximum average power of the laser device and a duration of 1-1000 ns, operates in a quasi continuous wave mode and in a triggered mode (Q-Switch), and includes a source of initial seed laser pulses and a middle optical fiber amplifier outputting the laser pulses. The machining head: is equipped with a unit for splitting a first laser beam into second laser beams exiting from an end portion through opening terminals diametrically opposed in a same geometric plane; includes a slot machine terminal with a height equal to the length of machined grooves (8, 9) and a removable mirror that moves linearly so that the laser beam exits through the slot terminal moving slowly along the slot end; is maintained in a fixed position during the laser machining a straight groove into a mechanical part (4); and is formed by a non-rotating upper part and a lower part that are rotated by a motor for machining grooves that are diametrically opposed in an opening (6) of the mechanical part.
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