  We study the Moyal anticommutators and their expectation values between
vacuum states and non-vacuum states for Dirac fields on noncommutative
spacetime. Then we construct the propagators of Moyal star-products for Dirac
fields on noncommutative spacetime. We find that the propagators of Moyal
star-products for Dirac fields are equal to the propagators of Dirac fields on
ordinary commutative spacetime.
