The coupled motion of the vortex lattices of two electrically insulate
d, superimposed, superconducting thin films (primary and secondary) in
a perpendicular magnetic field, is predicted to exhibit a Josephson-l
ike behavior. For a dc applied current flowing in the primary film, th
e voltage difference between the time-averaged primary and secondary f
lux flow voltages obeys the equations of a resistively shunted junctio
n model. If an ac current is superimposed on the dc current, Shapiro-t
ype steps are predicted in the current-voltage characteristic. In cont
rast to the conventional Josephson effect; the voltage positions of th
ese steps can be tuned by the applied magnetic field.