An experiment on the addition reaction of a D atom ͑deuteration͒ to CO on a cold ice surface is performed by deuterium atom exposure of three types of samples ͑pure solid CO, CO-capped H 2 O ice, and CO -H 2 O mixed ice͒ at 10-20 K. The variation of IR absorption spectra for the samples was measured by a Fourier transform infrared spectrometer during exposure to deuterium atoms. Reactions on pure solid CO were observed only at 10 K, while reactions on CO-capped H 2 O ice and CO-H 2 O mixed ice were observed to proceed even at 20 K. This indicates that the coexistence of H 2 O at the surface raises the reactive temperature. In addition, the experiment on H atom exposure was also carried out at 15 K to compare the reaction rate constant between the H and D atoms. The ratio of reaction rate constant k D / k H obtained is about 0.08 at 15 K. The authors provide information on the potential energy for the H + CO reaction at the surface by using the ratio k D / k H and by a model calculation of the potential tunneling with the asymmetric Eckart potential.