  The investigation of the properties of a Higgs boson, especially a test of
the predicted linear dependence of the branching ratios on the mass of the
final state, is currently one of the most compelling arguments for building a
linear collider. We demonstrate that the large Higgs boson production cross
section at a 3 TeV CLIC machine allows for a precision measurement of the Higgs
branching ratios. The cross section times branching ratio of the decays H
\rightarrow b^{-}b, H \rightarrow cc^{-} and H \rightarrow {\mu}{\mu} can be
measured with a statistical uncertainty of 0.22%, 3.2% and 15%, respectively.
