Coherent Anti-Stokes Raman Spectroscopy (CARS) and Coherent Anti-Stokes Hyper-Raman Spectroscopy (CAHRS), as the high-order nonlinear spectroscopy techniques, have been used in many research studies fields such as dynamic process, gene expression spectrum screening, and high-resolution spectroscopy. However, it is difficult to make a quantitative analysis of the spectral signals that involved many high-order micro-polarizability tensors. It has reported that the CARS and CAHRS microscopic hyperpolarizability tensor elements can be decomposed into the product of the differentiation of Raman microscopic polarizability tensor α'_i'j' and Hyper-Raman microscopic polarizability tensor β'_i'j'k' which simplifies the difficulty of quantitative analysis of higher-order spectra to the analysis of lower-order spectra. In this paper, we use the bond additivity model (BAM) combined with the experimental correction to address the C_2v symmetry molecular and present the simplified scheme for differentiation of Hyper-Raman microscopic polarizability tensor elements β'_i'j'k'. The differentiation of Hyper-Raman microscopic polarizability tensor elements β'_i'j'k' of the C_2v molecular group is obtained and the expressions of β'_i'j'k' for symmetric and antisymmetric vibrations of the C_2v molecular group also are deduced. According to the experimental measurement of the Hyper-Raman spectral intensity ratio of different polarization combinations of the ρ_HR-SS and ρ_HR-AS, along with HV polarization combinations of the corresponding vibration modes, the ratio between β'_i'j'k' of C_2v molecular group modified by Hyper-Raman experiment is obtained. Finally, substituting the experimentally corrected differentiation of Raman microscopic polarizability tensor elements α'_i'j' in the literature into the ratio above can obtain the proportional relationship between CARS the microscopic polarizability tensor elements and CAHRS of the C_2v molecular group. This method can provide the basis for the quantitative analysis of high-order nonlinear spectral.