  Several nearby ultra-faint satellites of the Milky Way discovered by the Dark
Energy Survey (DES) during the last few years are promising targets for
indirect dark matter (DM) searches with very-high-energy (VHE, E$\gtrsim$100
GeV) gamma rays. The H.E.S.S. experiment has carried out an observational
campaign in 2017 and 2018 towards a selection of the most promising DES dwarf
satellites, accumulating a total observation time of about 80 hours. The
individual datasets have been used to look for a DM signal in several
annihilation channels. No significant VHE gamma-ray excess above the background
is found in any of the targets. Constraints are derived on the
thermally-averaged velocity-weighted annihilation cross section $\langle \sigma
v \rangle$ of the DM particles versus their mass. A combined analysis of the
datasets has been performed. The strongest 95% C.L. upper limits reach a
$\langle \sigma v \rangle$ value of a few $10^{-24}$ cm$^3$ s$^{-1}$ for the DM
continuum signals in the TeV DM mass range. They are the first constraints
derived from imaging atmospheric Cherenkov telescope observations towards DES
dwarf galaxy satellites. These limits are among the most constraining so far in
the TeV DM mass range towards dwarf satellites of the Milky Way.
