In this paper, the complete convergence of weighted sums for ρ*-mixing sequence of random variables is investigated. By applying moment inequality and truncation methods, the equivalent conditions of complete convergence of weighted sums for ρ*-mixing sequence of random variables are established. We not only promote and improve the results of Li et al. （J. Theoret. Probab., 1995, 8（1）: 49-76） from i.i.d. to ρ*-mixing setting but also obtain their necessities and relax their conditions.
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