A method is proposed for track position improvement by means of a track-movable track-tamping machine (6) with a three-point work measurement system having three measurement carriages (A, B, C) and a cord (9) stretched therebetween, a tamping unit (5), a lifting and straightening unit (8) for tracks and in particular an odometer. The position of the track after the correction work of the track-tamping machine (6) is recorded by means of a measurement system. In order to reduce the straightening error, it is proposed that a computer (R) calculates the difference between a predetermined desired track position (1) and an actual position recorded by the measurement system, i.e. a residual error (Kh), and in that the position of the rear cord end on the rear measurement carriage (C) of the track-tamping machine (6) of the three-point work measurement system is continuously corrected in such a way that the rear cord end on the measurement carriage (C) is guided on the desired track position (1).