On the basis of the Maxwell-Lorentz equations and the density matrix approach a theoretical analysis of the photon drag arising from intersubband transitions in quantum wells embedded in an asymmetric Fabry-Perot microcavity is presented. Applying the theory to coupled double quantum wells embedded in a microcavity, the influences of applying an electric field on the photon drag in the structure have been investigated. Numerical calculations show that by applying an electric field across the wells the photon drag current may swap the direction and the amplitudes and the widths of the two peaks are also changed.