  We study the impact of fermionic dark matter (DM) on projected Higgs
precision measurements at the Circular Electron Positron Collider (CEPC),
including the one-loop effects on the $e^+e^-\to Zh$ cross section and the
Higgs boson diphoton decay, as well as the tree-level effects on the Higgs
boson invisible decay. As illuminating examples, we discuss two UV-complete DM
models, whose dark sector contains electroweak multiplets that interact with
the Higgs boson via Yukawa couplings. The CEPC sensitivity to these models and
current constraints from DM detection and collider experiments are
investigated. We find that there exist some parameter regions where the Higgs
measurements at the CEPC will be complementary to current DM searches.
