Abstract: In this article, applying the result of complete convergence for negatively associated (NA) random variables which is obtained by Chen et al.\ucite14, the equivalent conditions of complete convergence for weighted sums of arrays of row-wise negatively associated random variables is investigated. As a result, the corresponding results of Liang\ucite11 is generalized, moreover, the proof procedure is simplified greatly which is different from truncation method of Liang's. Thus, Gut's\ucite13 result on Ces\`aro summation of i.i.d. random variables is extended.