Aims. We probe the high-energy (>60MeV) emission from the black hole X-ray binary system, CygnusX-1, and investigate its origin. Methods. We analyzed 7.5yr of data by Fermi-LAT with the latest Pass 8 software version. Results. We report the detection of a signal at ~8sigma statistical significance that is spatially coincident with CygnusX-1 and has a luminosity of 5.5 x 10 super(33)ergs super(-1), above 60MeV. The signal is correlated with the hard X-ray flux: the source is observed at high energies only during the hard X-ray spectral state, when the source is known to display persistent, relativistic radio-emitting jets. The energy spectrum, extending up to ~20GeV without any sign of spectral break, is well fit by a power-law function with a photon index of 2.3 + or - 0.2. There is a hint of orbital flux variability, with high-energy emission mostly coming around the superior conjunction. Conclusions. We detected GeV emission from CygnusX-1 and probed that the emission is most likely associated with the relativistic jets. The evidence of flux orbital variability indicates the anisotropic inverse-Compton on stellar photons as the mechanism at work, thus constraining the emission region to a distance 10 super(11)-10 super(13)cm from the black hole.