The motion of a transcription bubble under constant torque is investigated. The motion of the bubble was modeled by a modified sine-Gordon equation. Numerical solutions of this equation (kinks) were found. Trajectories of the kink motion in homogeneous and inhomogeneous sequences were calculated for different model values of the torque Mτ and the initial velocity v0. It was shown that a change in the torsion moment Mτ has a significant impact on the character of the kink trajectory. At the same time, a change in the initial kink velocity v0 in a rather wide range of values does not affect the character of the kink trajectory.