Results are reported from a search for the Standard Model Higgs boson in the two photon channel in the mass range GeV, using the full dataset recorded by the CMS experiment at the LHC from pp collisions at centre-of-mass energies of 7 and 8 TeV. The most sensitive, MVA, analysis observes an excess of events at a mass of 125 GeV, with a local significance of 3.2 (standard deviations), where a local significance of 4.2 is expected from a standard model Higgs boson. The best-fit signal strength, , is at GeV, and the mass is fitted to be . The cut-based analysis observes a corresponding excess with a local significance of 3.9 (3.5 expected), and at GeV. All measurements are compatible among themselves and with a Higgs boson with a mass of 125.4 GeV.