  Chiral Schwinger model with the Faddeevian anomaly is considered. It is found
that imposing a chiral constraint this model can be expressed in terms of
chiral boson. The model when expressed in terms of chiral boson remains
anomalous and the Gauss law of which gives anomalous Poisson brackets between
itself. In spite of that a systematic BRST quantization is possible. The
Wess-Zumino term corresponding to this theory appears automatically during the
process of quantization. A gauge invariant reformulation of this model is also
constructed. Unlike the former one gauge invariance is done here without any
extension of phase space. This gauge invariant version maps onto the vector
Schwinger model.The gauge invariant version of the chiral Schwinger model for
$a=2$ has a massive field with identical mass however gauge invariant version
obtained here does not map on to that.
