The metastable 2A states of BaH and BaD have been identified in laserinduced fluorescence and chemiluminescence spectra. Together with the known states A 2H and B 2E+, the 2A states form a group of interacting components, and the analysis is given of the v = 0 levels in terms of an effective hamiltonian for a d-complex. Deperturbed energies, rotational constants and values of the interaction constants are given.