  The Circular Electron-Positron Collider (CEPC) is a future Higgs factory
proposed by the Chinese high energy physics community. It will operate at a
center-of-mass energy of 240-250 GeV and is expected to accumulate an
integrated luminosity of 5 ab$^{\rm{-1}}$ with ten years of operation. At CEPC,
Higgs bosons are dominantly produced from $ZH$ associated process. Vast amount
of Higgs events collected will enable precise studies of its properties
including Yukawa couplings to massive particles. With {\sc GEANT4}-based
simulation of detector effects, we study CEPC feasibility on measuring Higgs
boson decaying into a pair of muons. The results with or without information
from Z boson decay products are provided, which show a signal significance of
over 10 standard deviations can be achieved and the
H-$\mathrm{\mu}$-$\mathrm{\mu}$ coupling can be measured within $10\%$
accuracy.
