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The accretion of matter on to intermediate polar white dwarfs (IPWDs) seems to provide attractive conditions for acceleration of particles to high energies in a strongly magnetized turbulent region at the accretion disc inner radius. We consider possible acceleration of electrons and hadrons in such region and investigate their high‐energy radiation processes. It is concluded that accelerated electrons lose energy mainly on synchrotron process producing non‐thermal X‐ray emission. On the other hand, accelerated hadrons are convected on to the white dwarf (WD) surface and interact with dense matter. As a result, high‐energy  γ ‐rays from decay of neutral pions and secondary leptons from decay of charged pions appear. We show that GeV–TeV  γ ‐rays can escape from the vicinity of the WD. Secondary leptons produce synchrotron radiation in the hard X‐rays and soft  γ ‐rays. As an example, we predict the X‐ray and  γ ‐ray emission from IPWD V1223 Sgr. Depending on the spectral index of injected particles, this high‐energy emission may be detected by the  Fermi  Large Array Telescope and/or the future Cherenkov Telescope Array observatory.

X‐rays and γ‐rays from cataclysmic variables: the example case of intermediate polar V1223 Sgr