Measurements were made for the rate constant of OH + CO + He at 293 K, and OD + CO + M (M = He, Ar, N-2, air, SF6) at 253-343 K. Results were also obtained for OH + CO in a shock tube at 1400-2600 K using OH and CO absorption. A two-channel RRKM model of these and other representative results was constructed, with five adjustable parameters. A systematic optimization method was then employed to produce the best fit of the data and provide predictive k(T,P,D/H) expressions for other conditions.