Mode-locking characteristic of hybrid soliton pulse source (HSPS) utilizing linearly chirped raisedcosine flat top apodized fiber Bragg grating (FBG) is investigated by using coupled-mode equations. It is shown that proper mode-locking range where transform-limited pulses are generated is increased to 1.3 GHz by using linearly chirped raised-cosine flat top apodized FBG.