A method for ultrafast group-velocity control with simultaneously broad bandwidth， large tuning range， and controllable direction is proposed. By aid of cascaded optical parametirc amplification， the linear intensity-modulation of pump will transfer to the linear frequency-phase modulation of chirped signal pulses， enabling the time shift of signal pulses after compression. The tuning range and direction of time shift can be flexibly controlled by tuning the slope of pump modulation. The proposed method supports a large response bandwidth because of no phase-matching requirement， and can control the group velocity for few-cycle pulses in principle. Its feasibility is demonstrated by using both sawtooth-profile and Gaussian-profile pump modulations. It can implement in conventional nonlinear crystals and thus has an application prospect.