Hybrid and multi optimization techniques are used extensively for solving optimal power flow problems. In this paper, particle swarm optimization (PSO), is incorporated with grey wolf optimization, (GWO) to form hybrid algorithm called HPSOGWO and using the multi-objective optimization of this algorithm, which called MO-HPSOGWO and comparing them. The HPSOGWO and MO-HP SOGWO are implemented to enhance the optimal power flow solution of ieee-30 bus system. Five objective functions (OPF) optimizing separately by HPSOGWO and simultaneously in a single run by MO-HPSOGWO. The Matlab software is used to solve the system.