In the present paper we construct a self-consistent theory , interpreting the observations of the MAGIC Cherenkov Telescope of the very high energy ( VHE ) pulsed emission from the Crab pulsar . In particular , on the basis of the Vlasov ’ s kinetic equation we study the process of the quasi-linear diffusion ( QLD ) developed by means of the cyclotron instability . This mechanism provides simultaneous generation of low ( radio ) and VHE ( 0.01-25GeV ) emission on the light cylinder scales , in one location of the pulsar magnetosphere . A different approach of the synchrotron theory is considered , giving the spectral index of VHE emission ( \beta = 2 ) and the exponential cutoff energy ( 23 GeV ) in a good agreement with the observational data .