  The Higgs boson is the most anticipated discovery at the LHC, which can only
partially explore its true nature. Thus one of the most compelling arguments to
build a future linear collider is to investigate properties of the Higgs boson,
especially to test the predicted linear dependence of the branching ratios on
the mass of the final state. At a 3TeV CLIC machine the Higgs boson production
cross section is relatively large and allows for a precision measurement of the
Higgs branching ratio to pairs of b and c quarks, and even to muons. The cross
section times branching ratio of the decays $H\rightarrow b\bar{b}$,
$H\rightarrow c\bar{c}$ and $H\rightarrow \mu^{+}\mu^{-}$ can be measured with
a statistical uncertainty of approximately 0.22%, 3.2% and 15%, respectively.
