  By using Dazzler system and tilting compressor grating, we provide an
effective way of using the laser group delay dispersion (GDD) to continuously
steer the high energy electron beam which is accelerated by asymmetric
laser-wakefield. The deviation angle of electrons is as the same as the angular
chirped laser pulse from its initial optical axis, which is determined by the
laser pulse-front-tilt (PFT). This unique method can be continuously used to
control over the pointing direction of electron-pulses to the requisite
trajectories, especially for the alignment sensitive devices such as
electron-positron collider or undulator. Besides, the effect of PFT on the
qualities of electron beam has been investigated.
