Amethodbasedupontheweightedtotalcrosssection(WTCS)theoryisproposedtocalculatethephoto-ionisationcrosssectionsandtheradiativerecombinationratecoefficientsbetweenthefundamentallevelofCOandthemainelectronicstatesofitscorrespondingion.Totalphoto-ionisationcrosssectionsandradiativerecombinationratecoefficientsaredeterminedfromthecalculationofelementaryvibrationalphoto-ionisationcrosssections.TransitionsbetweenCO~+(X,AandB)andCO(X)areconsidered.Totalphoto-ionisationcrosssectionsandrecombinationcoefficientsarecomputedinthetemperatureinterval500-15000K.