A trellis system for training a row of grape vines is disclosed. The trellis system comprises a frame supporting a first cordon wire and a second cordon wire, wherein the two cordon wires are substantially parallel to one another. The frame is mounted relative to the ground so that the first cordon wire and the second cordon wire are tilted relative to a horizontally level plane. In additional or alternatively, the first cordon wire and the second cordon wire can be tilted relative to the slope of the ground directly below the first cordon wire and the second cordon wire.