The Central-WENO hybrid schemes (CWENO6 schemes) are developed based on the theory analysis. While the CWENO6 schemes were used in the finite volume method, the 3 order MUSCL deconvolution method was used instead of the origin 5 order WENO deconvolution method to reduce the deconvolution computation cost. According to the numerical test, it is found that the CWENO6 schemes have more powerful ability to represent the details of the flow filed because of its low numerical dissipation comparing to the WENO5 schemes under the same computation mesh. Finally, it is concluded that the CWENO6 schemes are an efficient method for the simulation of multi-dimension complex flow using finite volume method.