The sorption of hydrogen by cryodeposited frosts of CO2, SO2 and CH3CI at temperatures between 12° and 22°K has been investigated both analytically and experimentally. Equilibrium sorption isotherms and the dynamic pumping characteristics of the sorbent, sorbate combination were systematically measured for chamber pressures between 10-7 anc i 10-4 torr. Frost cryosorbents which were formed in a manner to make them more disordered or amorphous exhibited greater equilibrium sorption capacities for hydrogen. Carbon dioxide sorbents were formed which were able to sorb one hydrogen molecule for every two predeposited CQ2 molecules. Warming the frost evidently alters its structure and thereby decreases its sorption capacity. It was found that equilibrium sorption isotherms of frost cryosorbents could be predicted by the semiempirical Dubinin-Radushkevich Equation. Calculated isotherms are presented for a wide range of frost temperatures and chamber pressures. The pumping speed of a frost cryosorbent decreases with increasing amount of gas sorbed. A general model of the sorption dynamics was formulated and approximate closed-form solutions were obtained: (1) in the limit of rather compact frosts whose sorption behavior would be limited by the ability of the molecules to penetrate and diffuse into the frost, and (2) in the limit of very porous frosts in which the adsorption rate on the frost surface governs the pumping. Theoretical calculations for these limiting cases agreed with the observed pumping characteristics of the more compact and more porous frosts. Comparisons between theory and experiment indicated that the diffusion constant for H2 in a variety of cryodeposits varies from 10 -8 to 10" 15 cm /sec.