  Let $(R, {\frak m})$ be a local ring, $I$ a proper ideal of $R$ and $M$ a
finitely generated $R$-module of dimension $d$. We discuss the local homology
modules of $H^d_I(M)$. When $M$ is Cohen-Macaulay, it is proved that
$H^d_{{\frak m}}(M)$ is co-Cohen-Macaulay of N.dimension $d$ and
$H^{\underline{x}}_d(H^d_{{\frak m}}(M))\cong\hat{M}$ where
$\underline{x}=(x_1,...,x_d)$ is a system of parameters for $M$.
