Apparatus for guying a movable cutting machine equipped with a caterpillar drive and for moving the machine on ascending galleries has at both sides of the cutting machine tension members formed of chains or ropes and led over winches. The tension members are adapted to be fixed on both sides of the cutting machine, with the forward ends and the rearward ends of the tension members being adapted to be fixed at stationary locations of the gallery, preferably by means of rock anchors.