In this talk we address a full simulation of experimental measurement of the Standard Model Higgs boson decaying to di-photon at 3 TeV center-of-mass energy at the Compact Linear Collider (CLIC). Photons are massless and do not couple to Higgs boson at the tree level, but rather are created in a loop exchange of heavy particles either from the Standard Model or beyond. Any deviation of the Higgs to 𝛾𝛾 branching fraction and consequently of the Higgs to photon coupling
may indicate a New Physics. It is shown that the product of the Higgs production cross section in WW-fusion and BR (𝐻 −→ 𝛾𝛾) , as the observable for determination of the Higgs to photon coupling, can be measured with a relative statistical precision of 5.5%, assuming the integrated luminosity of 5 ab−1 and unpolarized beams.