A century since the discovery of Cosmic Rays, two and half years after its installation on the International Space Station, the Alpha Magnetic Spectrometer (AMS) is delivering the first physics results about precision measurement of Cosmic Rays from about 0.1 GeV to the TeV scale. After briefly reviewing the experiment and its operation in space I will present the results obtained during the first 30 months of operation in space, and discuss their significance and the perspectives in the context of particle and astroparticle physics.