  In this paper we introduce a new infinite class of bipartite graphs, called
jumped Wenger graphs, which are closely related to Wenger graphs. An tight
upper bound of the diameter and the exact girth of a jumped Wenger graph
$J_m(q, i, j )$ for integers $i, j$, $1\leq i <j \leq m+2$, are determined. In
particular, the exact diameter of the jumped Wenger graph $J_m(q, i, j)$ if
$(i, j)=(m,m+2), (m+1,m+2)$ or $(m,m+1)$ is also obtained.
