Let {<$mathds{X}_t$} be an m-dimensional linear process of the form $mathbb{X}_t;=sumA,mathbb{Z}_{t-j}$ where {$mathbb{Z}_t$} is a sequence of stationary m-dimensional negatively associated random vectors with $mathbb{EZ}_t$ = $mathbb{O}$ and $mathbb{E}parallelmathbb{Z}_tparallel^2$ < $infty$. In this paper we prove the central limit theorems for multivariate linear processes generated by negatively associated random vectors.