The potential energy curves (PECs) of the 10 low-lying states of calcium monohydride (CaH) have been calculated using the internally contracted multi-reference configuration interaction plus Davidson modification (icMRCI+Q) approach with core-valence correlation and scalar relativistic corrections were taken into account. Avoided crossing in the ??B'??? and D??? state as well as other low-lying states was taken into account to explain a long-standing discrepancy between the experimental and theoretical analysis. The spectroscopic constants and molecular constants of the ?-S bound in more consistent with the experimental data have been obtained with the aid of LEVEL8.0 program fitting to the relevant potential energy curves. The results computed in this paper have certain reference value to further experimental and theoretical research of CaH molecule.