Complete active space multiconfiguration self-consistent field (CAS-MCSFC) followed by full second-roder CI (SOCI) and relativistic configuration interaction (RCI) including spin-orbit coupling calculations are carried out on 14 λ-s and 10 ω-ω states of HfH. The spectroscopic constants (re, Te, ωe, μe, De) of these states are computed. The potential energy curves of these states are also reported. We find several electronic transitions in the IR-UV regions for HfH which are yet to be observed. The ground state of HfH is found to be a 3 2 state (82% 2Δ, 8% 2Π) with re = 1.854 A ̊, ωe = 1704 cm-1 and μe = 0.66 D. The spin-orbit effects are found to be very significant for HfH. © 1991.