  The classical action of a two dimensional N=2 supersymmetric theory,
characterized by a general K\"{a}hler potential, is written down on a
non(anti)commutative superspace. The action has a power series expansion in
terms of the determinant of the non(anti)commutativity parameter
$C^{\alpha\beta}$. The theory is explicitly shown to preserve half of the N=2
supersymmetry, to all orders in (det C)^n. The results are further generalized
to include arbitrary superpotentials as well.
