We present a precise measurement of the combined electron plus positron flux from 0.5 GeV to 1 TeV, based on the analysis of the data collected by the Alpha Magnetic Spectrometer during the first 30 months of operations aboard the International Space Station. The statistics and the high resolution of AMS-02 detector provide a precise measurement of the flux. The flux is smooth and reveals new and distinct information. Above 30.2 GeV, the combined electron plus positron flux can be described accurately by a single power law.