In this article, we study the doubly heavy baryon states Ξcc, Ωcc, Ξbb and Ωbb in the nuclear matter using the QCD sum rules, and derive three coupled QCD sum rules for the masses, vector self-energies and pole residues. The predictions for the mass-shifts in the nuclear matter \documentclass[12pt]{minimal}
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\begin{document}$\Delta M_{\varXi_{cc}}=-1.11~\mbox{GeV}$\end{document}, \documentclass[12pt]{minimal}
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\begin{document}$\Delta M_{\varOmega_{cc}}=-0.33~\mbox{GeV}$\end{document}, \documentclass[12pt]{minimal}
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\begin{document}$\Delta M_{\varXi_{bb}}=-3.37~\mbox{GeV}$\end{document} and \documentclass[12pt]{minimal}
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\begin{document}$\Delta M_{\varOmega_{bb}}=-1.05~\mbox{GeV}$\end{document} can be confronted with experimental data in the future.
