We present the results of classical trajectory calculations on the sticking of hyperthermal CO to the basal plane (0001) face of ice I-h, for normal and off-normal incidence at surface temperature (T-s) = 150 K. The sticking probability decreases with the incidence energy (E-i) and with the incidence angle (theta(i)) for theta(i) > 20degrees. At normal incidence, the sticking probability can be fitted to a simple decay function: P-s = 0.9 e(-0.012Ei(kJ/mol)). The energy transfer from the impinging molecule to the surface is found to be efficient and fast: most of Ei is transferred to the surface within 0.5-1.0 ps. For off-normal incidence, the energy transfer becomes less efficient for theta(i) > 20degrees. In the case of backscattering at off-normal incidence, the hotter molecules scatter at larger angles. At high E-i, no surface penetration occurs, but the impinging molecule may damage the surface significantly when it hits the surface in the center of a hexagonal ring. The energy minimization calculations suggest that CO is adsorbed either on top of an OH dangling group, or on top of the center of a water hexagonal ring, interacting mostly with an electron lone-pair oxygen atom in the first monolayer or with a four-coordinated oxygen in the second monolayer. The molecular dynamics calculations predict that the average binding energy of the adsorbed CO is 4.33 kJ/mol, with a maximum value of 10.4 kJ/mol. The results of our calculations are compared with the experimental and the previous theoretical data on the CO-ice and N-2- ice systems.