A current collector system for a vehicle movable along a busbar arrangement, with at least one current collector trolley and current collector contacts arranged thereon that can be connected to a busbar of the busbar arrangement and with a vertical delivery unit for moving the current collector trolley in a vertical delivery direction, or with a horizontal delivery unit with at least one delivery element movable in a horizontal delivery direction for moving the current collector trolley in the horizontal delivery direction, as well as a corresponding crane system. The current collector trolley can be moved by a belt drive with an elastic and/or flexible belt in the vertical delivery direction, or in that the delivery element can be moved via a belt drive with an elastic and/or flexible belt in the horizontal direction, and with a crane system equipped with the above.