We measure the forward-backward asymmetries ${A}_{\mathrm{FB}}$ of charged $\mathrm{\ensuremath{\Xi}}$ and $\mathrm{\ensuremath{\Omega}}$ baryons produced in $p\overline{p}$ collisions recorded by the D0 detector at the Fermilab Tevatron collider at $\sqrt{s}=1.96\text{ }\text{ }\mathrm{TeV}$ as a function of the baryon rapidity $y$. We find that the asymmetries ${A}_{\mathrm{FB}}$ for charged $\mathrm{\ensuremath{\Xi}}$ and $\mathrm{\ensuremath{\Omega}}$ baryons are consistent with zero within statistical uncertainties.