[@prod], respectively.

In this paper, we present the calculation of lifetimes for the doubly heavy baryons as well as reconsider the previous estimates with a use of slightly different set of parameters adjusted in the consideration of lifetime data for the observed heavy hadrons and improved spectroscopic inputs. As we made in the description of inclusive decays of the $\Xi_{cc}^{\diamond}$ and $\Xi_{bc}^{\diamond}$-baryons, we follow the papers [@Beneke; @vs], where all necessary generalizations to the case of hadrons with two heavy quarks and other corrections are discussed. We note, that in the leading order of OPE expansion, the inclusive widths are determined by the mechanism of spectator decays involving free quarks, wherein the corrections in the perturbative QCD are taken into account. The introduction of subleading terms in the expansion over the inverse heavy quark masses[^4] allows one to take into account the corrections due to the quark confinement inside the hadron. Here, an essential role is played by both the motion of heavy quark inside the hadron and chromomagnetic interactions of quarks. The important ingredient of such corrections in the baryons with two heavy quarks is the presence of a compact heavy diquark, which implies that the square of heavy 