  In this paper we construct Seiberg-Witten maps for superfields on canonically
deformed N=1, d=4 Minkowski and Euclidean superspace. On Minkowski superspace
we show that the Seiberg-Witten map is not compatible with locality,
(anti)chirality and supersymmetry at the same time. On Euclidean superspace we
show that there exists a local, chiral and supersymmetric Seiberg-Witten map
for chiral superfields if we take the noncommutativity parameter to be
selfdual, and a local, antichiral and supersymmetric Seiberg-Witten map for
antichiral superfields if we take the noncommutativity parameter to be
antiselfdual, respectively.
