A complete set of the low lying $\frac{1}{{2}^{\ensuremath{-}}}$ and $\frac{3}{{2}^{\ensuremath{-}}}$ levels of $^{197,199}\mathrm{Pt}$ was obtained from measurements of the primary $\ensuremath{\gamma}$-ray spectra following average resonance neutron capture experiments at incident neutron energies centered at 2 and 24 keV. A combination of the $^{197}\mathrm{Pt}$ results with those of a recent ($t, p$) experiment allows the further restriction of spin-parity assignments, including some for levels with $J\ensuremath{\ge}\frac{5}{2}$. The results are discussed in comparison with those previously obtained for $^{195}\mathrm{Pt}$ in terms of the Nilsson model and the recently proposed multi-$j$ supersymmetry that may apply in this O(6)-like region.NUCLEAR STRUCTURE $^{196}\mathrm{Pt}(n, \ensuremath{\gamma})$, $^{198}\mathrm{Pt}(n, \ensuremath{\gamma})$, ${E}_{n}=2, 24$ keV; measured ${E}_{\ensuremath{\gamma}}$, ${I}_{\ensuremath{\gamma}}$; $^{197}\mathrm{Pt}$, $^{199}\mathrm{Pt}$, deduced levels, $J$, $\ensuremath{\pi}$. Ge(Li) detectors, enriched targets, ARC spectroscopy. Comparison with predictions of multi-$j$ supersymmetry in the interacting boson fermion approximation model.