The invention relates to a spinning machine or a twister with a spindle rail capable of performing lifting motion. The spinning machine or twister comprises a support base and at least one spindle rail (1) which is held by the support base in a manner of capable of performing lifting motion along at least one guide mechanism (30). The spinning machine or twister is characterized in that the support base holds a pulley block mechanism (10) which comprises a tying belt (16) which is guided to pass by at least one moving wheel (12) and at least one fixed wheel (14) alternately, wherein the at least one moving wheel (12) is connected with the spindle rail (1) in a position-changeable manner, and the at least one fixed wheel (14) is connected with the support base in a position-fixed manner; when a first end (16a) of the tying belt is installed in a position-fixed manner, the numbers of the fixed wheels (14) and the moving wheels (12) which the tying belt pass by before reaching a position-changeable second tying belt end (16b) are the same, or when the first end (16a) of the tying belt (16) is fixed in a manner of being movable along with the spindle rail (1), the tying belt pass by more fixed wheels (14) than moving wheels (12) during extending.