A theoretical analysis of the photon drag arising from intersubband transitions in quantum wells embedded in a planar microcavity has been performed. Deriving from the density-matrix approach, the photon-drag response function and the expression for the integrated photon-drag current have been given. On the basis of the Maxwell-Lorentz equations, the expression of the field in each layer is obtained. Then, by matching the boundary conditions, the field in the quantumwell microcavity structure is rigorously determined, the determined field is then used to calculate the photon-drag current. Detailed numerical calculations show that the photon-drag current can be significantly modified due to the coupling between the quantum wells and the microcavity.