  We analyze the constraints for a system of anti self-dual Yang-Mills (ASDYM)
equations by means of the modified Faddeev-Jackiw method in K and J gauges
\`{a} la Yang. We also establish the Hamiltonian flow for ASDYM system through
the hidden BRS invariance in both the gauges. Finally, we remark on the
bi-Hamiltonian nature of ASDYM and the compatibility of the symplectic
structures therein.
