The scientific goals of the GAMMA-400 space mission and the design of the new spacebased gamma-ray telescope GAMMA-400 are presented. GAMMA-400 is a dual experiment dedicated to the study of gamma rays and electrons, protons and nuclei. It has aimed to a broad range of scientific topics, such as search for signatures of dark matter, studies of Galactic and extragalactic gamma-ray sources, especially Galactic Center, Galactic and extragalactic diffuse emission, as well as high-precision measurements of cosmic rays spectra. GAMMA-400 will have the best parameters when measuring gamma rays: the angular resolution ∼0.01 deg. (at 100 GeV), the energy resolution ∼1% (at 100 GeV), and the proton rejection factor ∼10 6 and will be able to measure gamma-ray and cosmic-ray electron + positron fluxes in the energy range from 100 MeV to 20 TeV, as well as protons and nuclei up to the knee (10 15 -10 16 eV).