  Lorentz covariance is the fundamental principle of every relativistic field
theory which insures consistent physical descriptions. Even if the space-time
is noncommutative, field theories on it should keep Lorentz covariance. In this
paper, the nonabelian gauge theory on noncommutative spacetime is defined and
its Lorentz invariance is maintained based on the idea of Carlson, Carone and
Zobin. The deviation from the standard model in particle physics has not yet
observed, and so any model beyond standard model must reduce to it in some
approximation. Noncommutative gauge theory must also reproduce standard model
in the limit of noncommutative parameter $\theta^{\mu\nu}\to0$. Referring to
Jur$\check{\text{c}}$o {\it et. al.}, we will construct the nonabelian gauge
theory that deserves to formulate standard model. BRST symmetry is very
important to quantize nonabelian gauge theory and construct the covariant
canonical formulation. It is discussed about the fields in noncommutative gauge
theory without considering those components. Scale symmetry of ghost fields is
also discussed.
