The state-selective predissociation spectroscopy of HCl+ and DCl+ ions has been investigated in a two color double-resonance experiment. Ions are formed in the vibronic ground state X-similar to (II3/2)-I-2 by the first laser via resonance enhanced multiphoton ionization. Predissociation of these ions is induced by excitation to the excited A (2)Sigma(+) state. Analysis of the predissociation spectra is shown to provide access to (i) the spectroscopic parameters of the electronic states involved, (ii) the lifetime of the predissociating states, and (iii) the rotational state distribution of the ions.