It is considered the modern state of cosmic rays (CR) origin including the following : regions of CR generation, mechanisms of charged particles acceleration up to very high energies, the CR spectrum and composition, the CR propagation under astrophysical conditions, the CR role in astrophysical processes. It is discussed also the acceleration of charged relativistic particles by shock waves in the young supernova remnants. MHD turbulence generation by the streaming instability of accelerated particles is taken into account. The results obtained are discussed from the CR origin point of view.