  We proceed to investigate the solutions of generalized supergravity equations
(GSE) in three dimensions. Our candidate is the metric of BTZ black hole. It is
shown that only the cases with $J=M=0$ and $J=0,~ M\neq 0$ of the BTZ metric
satisfy the GSE. In the former, we find a family of solutions including the
field strength $H_{_{r \varphi t}}=2r/l$, the cosmological constant
$\Lambda=-1/l^2$, one-form $Z_{\mu}$ and a vector field which is obtained to be
a linear combination of the directions of the time translation and rotational
symmetries. In the latter, the solutions possess the same field strength as
before, while the cosmological constant $\Lambda$, one-form $Z_{\mu}$ and
vector field $I$ will be different from the previous case. Finally, we show
that the charged black string solution found by Horne and Horowitz, which is
Abelian T-dual to the the BTZ black hole solution, can be considered as a
solution for the GSE.
