  We present a kind of model of quantum electrodynamics with nonlocal
interaction, all the action and the equations of motion of charged particle and
electromagnetic field are given. The main characteristics of the theory are:
the model obeys the action principle; free charged particle and free
electromagnetic field obey the Dirac equation and the Maxwell equation of free
fields, respectively; for the case of interaction, both the equations of motion
of charged particle and electromagnetic field lead to the normal current
conservation naturally; the theory is Lorentz invariant and gauge invariant,
and returns to the conventional local QED under appropriate limit conditions.
Taking advantage of the Yang-Feldman equations and the Lehmann-Symanzik-
Zimmermann formalism, we establish the corresponding quantum theory.
