Precision measurements of the primary cosmic ray positrons and electrons are presented up to 1\,TeV
using the data sample of 1.9 million positrons and 28.1 million electrons collected by the Alpha Magnetic
Spectrometer on the International Space Station. The positron flux and electron flux exhibit distinctly different and complex energy dependence. Both spectra show an excess staring from 30\,GeV compared to the low energy trend.The most prominent feature of the positron flux is a sharp drop-off around 300\,GeV. This feature is not present in the electron flux. These distinctive properties indicate a new source of high energy electrons and positrons. These experimental data on the behavior of the cosmic ray positrons and electrons at high energies provide unique information on their origin.