A device for grounding at least one electrical conductor (B; B'; B") of an overhead power line, said device comprising: - at least one vice, each of which comprises, on the one hand, clamping means which are configured to clamp such a vice onto an element connected to the ground, and which adopt an active clamping position and an inactive clamping position of such a vice onto said element connected to the ground and, on the other hand, movement means which are configured to move the clamping means between the active clamping position and the inactive clamping position of such a vice and, furthermore, locking means which are configured to lock the movement means in an inactive movement position, and which adopt an active locking position and an inactive locking position of said movement means; - at least one gripper, each of which comprises, on the one hand, clamping means which are configured to clamp such a gripper onto the electrical conductor (B; B'; B") or onto one of the electrical conductors (B; B; B"), and which adopt an active clamping position and an inactive clamping position of such a gripper onto such an electrical conductor (B; B'; B") and, on the other hand, movement means which are configured to move the clamping means between the active clamping position and the inactive clamping position of such a gripper and, furthermore, locking means which are configured to lock the movement means in an inactive movement position, and which adopt an active locking position and an inactive locking position of said movement means; - control means which are removable and configured to control the locking means on said at least one vice as well as the locking means on said at least one gripper; - at least one electrical cable, each of which is configured to connect said at least one vice to one of said grippers; - characterized in that: - the grounding device comprises communication means (11; 12; 13) which are configured to communicate data between, on the one hand, the control means and, on the other hand, the locking means on said at least one vice and the locking means on said at least one gripper; - the control means are configured to control the locking means on said at least one vice and the locking means on said at least one gripper according to the data communicated between, on the one hand, the control means and, on the other hand, the locking means on said at least one vice and the locking means on said at least one gripper. - at least one vice, each of which comprises, on the one hand, clamping means which are configured to clamp such a vice onto an element connected to the ground, and which adopt an active clamping position and an inactive clamping position of such a vice onto said element connected to the ground and, on the other hand, movement means which are configured to move the clamping means between the active clamping position and the inactive clamping position of such a vice and, furthermore, locking means which are configured to lock the movement means in an inactive movement position, and which adopt an active locking position and an inactive locking position of said movement means; - at least one gripper, each of which comprises, on the one hand, clamping means which are configured to clamp such a gripper onto the electrical conductor (B; B'; B") or onto one of the electrical conductors (B; B; B"), and which adopt an active clamping position and an inactive clamping position of such a gripper onto such an electrical conductor (B; B'; B") and, on the other hand, movement means which are configured to move the clamping means between the active clamping position and the inactive clamping position of such a gripper and, furthermore, locking means which are configured to lock the movement means in an inactive movement position, and which adopt an active locking position and an inactive locking position of said movement means; - control means which are removable and configured to control the locking means on said at least one vice as well as the locking means on said at least one gripper; - at least one electrical cable, each of which is configured to connect said at least one vice to one of said grippers; - characterized in that: - the grounding device comprises communication means (11; 12; 13) which are configured to communicate data between, on the one hand, the control means and, on the other hand, the locking means on said at least one vice and the locking means on said at least one gripper; - the control means are configured to control the locking means on said at least one vice and the locking means on said at least one gripper according to the data communicated between, on the one hand, the control means and, on the other hand, the locking means on said at least one vice and the locking means on said at least one gripper.