  We construct noncommutative versions of both the minimal and the new minimal
supersymmetric Grand Unified Theories. The enveloping-algebra formalism is used
to carry out such constructions. The beautiful formulation of the Higgs sector
of these noncommutative theories is a consequence of fact that, in the GUTs at
hand, the ordinary Higgs fields can be realized as elements of the Clifford
algebra Cl10(C). In the noncommutative supersymmetric GUTs we formulate,
supersymmetry is linearly realized by the noncommutative fields; but it is not
realized by the ordinary fields that define those noncommutative fields via the
Seiberg-Witten map.
