We present the results of a study of the primary very-high-energy cosmic radiation carried out at the Moscow State University and in Yakutsk. We briefly explain the new methods which were realized at these establishments. Particular attention is given to the results on the high energy spectrum of primary cosmic radiation in the interval of energies 10$^{15}$-10$^{19}$ eV. We discuss the role of galactic cosmic rays of metagalactic origin, and also new mechanisms which ensure the acceleration of particles to energy of the order or more than 10$^{19}$ eV.
Moscow State University, Leninskie Gory, Moscow, 119992, Russia,Scientific Research Institute of Nuclear Physics
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