In the competitive electricity market, Distributed generation (DG) is an effective alternative to deal with the technical, operational and control requirements of the distribution network. This paper provides empirical evidence for the optimal connection of DG to the IEEE 69-bus standard radial distribution grid as well as the actual 257-bus radial distribution grid of Gia Lai Power Company. Several performance metrics based on active power losses, voltage fluctuations, voltage stability, load balance, and reliability have been used to form a new multi-objective function. Stochastic Fractal Search Algorithm is applied to find the optimal position and capacity of DG to minimize the proposed multi-objective function. The test results show that the connection of DG to the distribution network has improved. Moreover, compared with the previous algorithms, the proposed algorithm has provided better quality of the solution in the comparison cases