  Using the notion of a gauge connection on a flat superspace, we construct a
general class of noncommutative ($D=2,$ $\mathcal{N}=1$) supertranslation
algebras generalizing the ordinary algebra by inclusion of some new bosonic and
fermionic operators. We interpret the new operators entering into the algebra
as the generators of a U(1) (super) gauge symmery of the underlying theory on
superspace. These superalgebras are gauge invariant, though not closed in
general. We then show that these type of superalgebras are naturally realized
in a supersymmetric field theory possessing a super U(1) gauge symmetry. As the
non-linearly realized symmetries of this theory, the generalized noncommutative
(super)translations and super gauge transformations are found to form a closed
algebra.
