Disclosed is a clamp system 100 for clamping fence wire. The clamp system comprises a first clamp member 102, a second clamp member 104, and one or more wedges 106. The first clamp member 102 comprises a plurality of spaced 5 lugs 110 projecting therefrom. Each lug 110 comprises a passage 118 and an inner surface. The passage 118 extends from a first side of the lug to a second side of the lug. The inner surface at least partially defines the passage 118, and comprises a wedge-engaging region 244. The second clamp member 104 comprises one or more lug-receiving apertures 130 for receipt of the lugs 110 of the first clamp 10 member 102 therethrough. Each of the one or more wedges 106 is receivable through the passage 118 of a respective lug 110 so as to be wedged between the wedge-engaging region 244 of the respective lug 110 and the second clamp member 104. The wedge-engaging region 244 of each lug 110 generally corresponds to a facing surface 246 of the wedge when received through the 15 passage 118 of its re