$\Omega_{ccc}$, $\Omega_{bbb}$, $\Omega_{ccb}$ and $\Omega_{bbc}$ baryons are considerable theoretical interest in a baryonic analogue of heavy quarkonium because of the color-singlet bound state of three heavy quark (c,b) combination inside ({\it free from light quarks}) \cite{olive}. Regge trajectories are concerned with the mass spectrum of the particles so that the present study exhibits the regge trajectories obtained from excited states of four experimentally unknown triply heavy $\Omega$ baryons. The trajectories are plotted in (n, $M^{2}$) and (J, $M^{2}$) planes which is helpful to determine the unknown quantum number and $J^P$ values. The calculations have computed in Hypercentral Constituent Quark Model with hyper coulomb plus linear potential \cite{EPJC}. Many author have also study the mass spectra by different approaches\cite{brown, PAD2014, vijande2015, kwei2}. However, LHCb experiment possibly detect $\Omega_{bbb}$, $\Omega_{bbc}$ and $\Omega_{bbc}^{*}$ baryons at appropriate integrated luminosity and collision energy \cite{lhcb}.
\begin{thebibliography}{90}
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\bibitem{lhcb}S.-Z. Wu, Y.-W. Li and R. Rashidin, Phys. Rev. D {\bf 86}, 114504 (2012)
\end{thebibliography}