In this paper a method is presented for the first time, witch can match completely group velocities of three pulses in femtosecond optical parametric amplification (OPA) of the KBe2BO3F2 (KBBF) crystal. We combine noncollinear configuration with tilting pulse front of pump, and collinear configuration with tilting pulse front of pump and signal, in type-Ⅰ and type-Ⅱ phase matching configurations respectively, to realize complete match of group velocities of three pulses in maximal parametric bandwidth of the femtosecond OPA, thus can obtain parametric pulses with higher gain and shorter duration.