Based on the inverse correlations between methane content and elastic parameters of coalbed methane (CBM) reservoirs and on geomodulus approximation of Zoeppritz equations, we study characteristics of CBM amplitude versus offset (AVO) anomaly. Our research first suggests that CBM AVO cannot, and needs not, cling to Poisson’s Ratio as AVO for conventional gas (C-gas) does and that various approximations of Zoeppritz equations for C-gas AVO can be applied to CBM AVO though the elastic contrasts at boundaries of CBM reservoirs cannot be said to be small compared to unity. We then show that the sweet spots within a brine-saturated high- and/or medium-rank CBM reservoir can have only Class IV AVO anomaly. The reason is that all of the three elastic reflectivities, i.e., reflectivity, reflectivity, and reflectivity, at one and the same boundary of a CBM reservoir, are always of the same sign and that reflectivity or density reflectivity or both are significant in comparison with reflectivity. Finally, we propose that density reflectivity be an indicator of methane content of a CBM reservoir whereas reflectivity should be an indicator of permeability.