This paper proposes an optimization approach of Hybrid Artificial Bee Colony Algorithm (HABC) which is used for tuning the PI (Proportional-Integral) controller gains in single phase Shunt Active Power Filter (SAPF). The purpose of HABC algorithm is to optimize the gain values of PI controller and to improve the dynamic performance of SAPF. In this HABC, the Adaptive Real Coded Genetic Algorithm (ARGA) is integrated with Artificial Bee Colony (ABC) algorithm to speed up the convergence rate and to identify the optimal solution in smaller number of generations. The minimization of Integral Square Error (ISE) is considered cost functions for the system. The current commands are tracked using the Model Predictive Current (MPC) controller. It provides perfect tracking of the reference current at each sampling time. The effectiveness of the control technique is demonstrated through experimentation with Cyclone-IV EP4CE30F484 FPGA board under dynamic operating conditions. The performance of the proposed HABC algorithm is compared with classical PI and ABC optimized PI controller. The experimental results are presented to prove that the proposed controller performs better than the classical PI, and ABC-PI controller with improved settling time, less peak overshoot of DC (Direct Current) link voltage and THD (Total Harmonic Distortion) of source current within a limit. © 2020 Academic Publishing House. All rights reserved.