  In this paper the SIM(2) superspace formulation of the supersymmetric
Yang-Mills gauge theory minimally coupled to chiral superfields is discussed.
The super-Poincare invariant supersymmetric Yang-Mills theory is rewritten to
SIM(2) superspace formalism and the effects of SIM(2) invariant but Lorentz
breaking terms are discussed. Two approaches are investigated. The first is
based on the gauge chiral representation of the supersymmetric gauge theory and
the second is based on the covariant representation of the supersymmetric gauge
theory.
