A surgical system comprises a first element with a seat (19) which removably receives a surgical instrument (14) for operational use thereof. The seat (19) is provided with at least one first electrical connector (25) which is intended for electrical connection with a complementary second electrical connector (26) present on the instrument when the instrument is mounted in the seat. At least one of the two said connectors (25 26) is designed to be movable controllably between a first retracted rest position and a second advanced position for electrical connection together with the other connector and is provided with electrical contacts for engagement in the other connector which are suitable for perforating during the movement between the first and second positions at least one sterile sheath (18 24) which is arranged between the first and second connectors.
