  In this paper we study almost Cohen-Macaulay bipartite graphs. Furthermore,
we prove that if $G$ is almost Cohen-Macaulay bipartite graph with at least one
vertex of positive degree, then there is a vertex of $\deg(v) \leq 2$. In
particular, if $G$ is an almost Cohen-Macaulay bipartite graph and $u$ is a
vertex of degree one of $G$ and $v$ its adjacent vertex, then $G\setminus\{v\}$
is almost Cohen-Macaulay. Also, we show that an unmixed Ferrers graph is almost
Cohen-Macaulay if and only if it is connected in codimension two. Moreover, we
give some examples.
