  The structures and the associated gauge algebra of ABJM theory in ${\cal
N}=1$ superspace are reviewed. We derive the Ward identities of the theory in
the class of Lorentz-type gauges at quantum level to justify the
renormalizability of the model. We compute the Nielsen identities for the
two-point functions of the theory with the help of enlarged BRST
transformation. The identities are derived in ABJM theory to ensure the gauge
independence of the physical poles of the Green's functions.
