The invention discloses a spinning-free integral curve type stepless speed changing unit, and aims at providing a stepless speed changing unit capable of avoiding spinning efficiency losses within a gear ratio scope. The spinning-free integral curve type stepless speed changing unit is characterized in that the speed changing unit is composed of an input conical disc, an input shaft, an output conical disc, an output shaft, a roller and a roller installing shaft; and power is input through the input shaft, sequentially passes through the input conical disc, the roller and the output conical disc, and is finally output by the output shaft. The input shaft and the output shaft are parallel, the roller is vertically installed between the two shafts, and the generatrix of the input conical disc and the generatrix of the output conical disc are both special integral curves. During speed regulating, the roller moves in the vertical direction, and the input conical disc and the output conical disc move along self axes to guarantee that transmission elements can be in normal contact. The spinning-free integral curve type stepless speed changing unit can be used for replacing speed changing units in various ring surface type stepless speed changing units, and a speed changer is free of spinning-free efficient transmission.