We have measured the cross-section of the production of single photon events in e + e- collisions near the Z ° resonance. For an integrated luminosity of 9.6 pb -1, we have observed 202 single photon candidates with energy between 0.9 and 3.5 GeV in the polar angular region between 45 ° and 135 °. Assuming that the only stable weakly interacting particles are light neutrinos with standard model couplings, we determine the number of light neutrino species to be Nv = 3.14 + 0.24 (stat.)4-0.12 (syst.). This corresponds to an invisible Z ° width of Finv = 524 + 40 4- 20 MeV.