The absolute magnitude of barium stars has been obtained from kinematical data using a new algorithm based on the maximum-likelihood principle. The method allows to separate a sample into groups characterized by different mean absolute magnitudes, kinematics and z-scale heights. Three groups belonging to the disk population have been obtained. We give, for each star of these three groups, the probability P of belonging to each of them and the assignation to the most likely one (G). The first column gives an an identification number: for most of the stars HD numbers are given, otherwise BD numbers. The following two columns present the spectral type taken from the INCA database and the strength of the BaII line (I_Ba) taken from Lu catalogue (1991) <V/81>.