A sweeping machine for working ground surfaces, including a machine frame adapted to be moved in the traveling direction, at least one wheel axle with at least one wheel, the wheel axle being supported in the machine frame transversely to the traveling direction. The wheel axle supports the machine frame parallel to the ground surface, at least one sweeping element may be driven for rotation about a sweeping element axis, the sweeping element axis extending substantially parallel to the ground surface, and the sweeping element is in contact with the ground surface when in an operating position. The sweeping element axis may be moved from a first operating position, assumed when travelling straight, to a second operating position, assumed when driving a curve. In the second position the sweeping element axis is in a position pivoted towards the inner side of the curve.