  It is known that Noncommutative QED (NCQED) exhibits Gribov ambiguities in
the Landau gauge. These ambiguities are related to zero modes of the
Faddeev-Popov operator and arise in the ghost propagator when it has a pole. In
this work, we establish a positive Faddeev-Popov operator for NCQED and the
condition for the ghost propagator not to have poles, the so-called Gribov
no-pole condition. This condition is implemented in the path integral, and
allows for the calculation of the photon propagator in momentum space, which is
dependent on the squared non-commutativity parameter. In the commutative limit
standard QED is recovered.
