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