The work aims to study dynamic compensation for tension change in speeding up or down process of rewinder. The dynamic process was analyzed by indirect control method. Dynamic torque compensation method was applied in the speeding up or down process of the rewinder to realize efficient operation. Current of two controlled motors changed synchronously with the changes of dynamic torque compensation, namely the running speed changed synchronously and the paper tension remained constant in the process of speeding up or down. In conclusion, by Matlab simulation experiment, the two controlled motors witness evidently intensified speed synchronism while their paper tension keeps constant.