  We consider the noncommutativity parameter of the space-time as a bosonic
worldsheet field. By finding a fermionic super-partner for it, we can find star
products between the boson-boson, boson-fermion and fermion-fermion fields of
superstring worldsheet and also between superfields of the worldsheet
superspace. We find a two dimensional action for the noncommutativity parameter
and its fermionic partner. We discuss the symmetries of this action.
