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 a 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 the ieee-30 bus system. Five objective functions (OPF) optimizing separately by HPSOGWO and simultaneously in a single run by MO-HPSOGWO. Matlab software is used to solve the system.