The classical action of a two dimensional N = 2 supersymmetric theory, characterized by a general Kähler 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^αβ. 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.