The Ono-Kondo (OK) lattice model was further developed to facilitate precise representations and accurate predictions for high-pressure, supercritical adsorption isotherms encountered in Coalbed Methane recovery and CO2 sequestration. The parameters of the OK model were regressed to obtain reliable representation of pure-gas, high-pressure adsorption on carbon adsorbents for adsorbates in the near-critical and supercritical regions. The OK monolayer model was effective in modeling pure-gas adsorption on carbon matrices at supercritical and near-critical regions. The model can represent adsorption on activated carbon and coals within their expected experimental uncertainties. The generalized model, which relates the OK model parameters to gas properties and accessible adsorbent characterization, can predict the adsorption isotherms on activated carbon with about 7% average absolute deviation or twice the expected experimental uncertainties. The generalized model can also predict the adsorption isotherms of various gases based on the adsorption isotherm of one gas on the same adsorbent. In addition, the generalized model is effective in modeling pure-gas adsorption on wet coals when the coal moisture content is above its equilibrium value. This is an abstract of a paper presented at the 2006 AIChE National Meeting (San Francisco, CA 11/12-17/2006).