  In this paper, we prove the abundance conjecture for threefolds over an
algebraically closed field $k$ of characteristic $p > 3$ in the case of
numerical dimension equals to $2$. More precisely, we prove that if $(X,B)$ be
a projective lc threefold pair over $k$ such that $K_{X}+B$ is nef and
$\nu(K_{X}+B)=2$, then $K_{X}+B$ is semiample.
