The doubly excited 1De resonance state of H− below the n = 2 threshold has been investigated using highly correlated exponential basis functions in the framework of the complex- coordinate rotation method. The resonance energies and widths for this system having infinite, finite proton and deuteron, nuclear masses are reported. The resonance energies and widths are in excellent agreement with the experimental results. The isotope shift of the 1De resonance of H− and D−, measured from the respective ground state, is also compared with experimental determination.