Chirped pulse oscillation (CPO) and femtosecond laser microscopy both require large dispersion compensation amount within a certain bandwidth. This required compensation amount is too large to achieve for those dispersion compensation filters that has already used in femtosecond laser system. A novel design method was introduced based on a conjugate cavity and Gires-Tournois cavity hybrid initial structure, dispersion compensation requirement of the system can be fulfilled by subsequent computer optimization. To prove the validity of this method, we apply two design examples were provided which meet the practical requirement of CPO and femtosecond laser microscopy. Compared with those designs by singly computer optimization, this design is much more simpler and in order, so it is easier for preparation.