Interpretation of the recently discovered very high energy ( VHE ) pulsed emission from the Crab pulsar is presented . By taking into account the fact that Crab pulsar ’ s radiation for the optical and VHE spectrum peak at the same phases , we argue that the source of this broad band emission is spatially localized . It is shown that the only mechanism providing the results of the MAGIC Cherenkov telescope , should be the synchrotron radiation . We find that in the magnetospheric electron-positron plasma , due to the cyclotron instability , the pitch angle becomes non-vanishing , which leads to the efficient synchrotron mechanism , intensifying on the light cylinder lengthscales . We also estimate the VHE radiation spectral index to be equal to -1 / 2 .