Einstein A-coefficients for vib-rotational transitions in CO isotopomers, for vibrational quantum number upsilon up to 20, rotational quantum number J up to 140, and Delta upsilon up to 4, are calculated. The change in J is governed by the selection rules Delta J = +/- 1. These coefficients play an important role in astronomy, as CO is the most abundant molecule after H-2, and has been observed in almost all the astronomical objects.