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.
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