The linked-cluster many-body perturbation approach has been applied to the study of indirect nuclear spin-spin coupling constant $J_{\mathrm{HD}}$ in HD molecule. The complete set of states used were the bound and continuum states of $\mathrm{H}_2^{}{}_{}{}^{+}$ molecular ion with the internuclear separation appropriate to ${\mathrm{H}}_2$ molecule. Our calculated value of $J_{\mathrm{HD}}$ through the Fermi contact interaction mechanism is +42.57 Hz in good agreement with the most recent experimental value of +42.7±0.7 Hz.

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