Let {$x_{nk};$mid$1;leq;k;leq;n,;n;geq;1$</TEX>} be an array of random varianbles and ${a_n$mid$n;geq;1};and;{b_n$mid$n;geq;1} be a sequence of constants with $a_n;>;0,;b_n;>;0,;n;geq;1. In this paper, for array of row negatively associated(NA) random variables, we establish a general weak law of large numbers (WLLA) of the form (${sum_{kappa=1}}^n;a_{kappa}X_{nkappa};-; u_{nkappa});/b_n$ converges in probability to zero, as $n; ightarrow;infty$, where {$ u_{nkappa}$mid$1;leq;kappa;leq;n,;n;geq;1$</TEX>} is a suitable array of constants.