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This paper presents a modified particle swarm optimization (MPSO) for the solution of the optimal power flow (OPF) with both continuous and discrete control variables that was called non-continuous optimal power flow (NCOPF). The continuous control variables modeled are unit active power outputs and generator-bus voltage magnitudes for traditional OPF, while the discrete ones are transformer-tap settings and shunt capacitor devices for integer variables OPF. All variables were processed by different technique separately, such as the continuous variables were solved by equivalent current injection-based OPF (ECIOPF), and the discrete ones were by MPSO. The computational results have showed that the proposed MPSO with the adaptive velocity that resulting in robustness and higher efficiently in non-convex OPF problems. Index Terms-modified particle swarm optimization, equivalent current injection, optimal power flow, predictor-corrector interior point algorithm, non-continuous optimal power flow, adaptive velocity.