  We systematically analyzed the production of semi-inclusive doubly heavy
baryons ($\Xi_{cc}$, $\Xi_{bc}$ and $\Xi_{bb}$) for the process $H^0
\rightarrow \Xi_{QQ'}+ \bar {Q'} + \bar {Q}$ through four main Higgs decay
channels within the framework of non-relativistic QCD. The contributions from
the intermediate diquark states, $\langle cc\rangle[^{1}S_{0}]_{\mathbf{6}}$,
$\langle cc\rangle[^{3}S_{1}]_{\mathbf{\bar 3}}$, $\langle
bc\rangle[^{3}S_{1}]_{\mathbf{\bar 3}/ \mathbf{6}}$, $\langle
bc\rangle[^{1}S_{0}]_{\mathbf{\bar 3}/ \mathbf{6}}$, $\langle
bb\rangle[^{1}S_{0}]_{\mathbf{6}}$ and $\langle
bb\rangle[^{3}S_{1}]_{\mathbf{\bar 3}}$, have been taken into consideration.
The differential distributions and three main sources of the theoretical
uncertainties have been discussed. At the High Luminosity Large Hadron
Collider, there will be about 0.43$\times10^4$ events of $\Xi_{cc}$,
6.32$\times10^4$ events of $\Xi_{bc}$ and 0.28$\times10^4$ events of $\Xi_{bb}$
produced per year. There are fewer events produced at the Circular Electron
Positron Collider and the International Linear Collider, about $0.26\times
10^{2}$ events of $\Xi_{cc}$, $3.83\times 10^{2}$ events of $\Xi_{bc}$ and
$0.17\times 10^{2}$ events of $\Xi_{bb}$ in operation.
