Farrow structure is an effective structure for designing the digital filters in order to lease the complexity associated with the design. Keeping in mind, the effective and simple design of the digital filters, a method is proposed based on the Farrow structure. The proposed digital FIR filter is designed based on the farrow structure along with hybrid optimization that is designed using the Brain Storm Optimization (BSO) and Artificial Bee Colony (ABC) algorithm, termed as Brain Storm-Artificial Bee Colony (BSABC) algorithm. The proposed algorithm works based on the minimum objective function that depends on the total number of the hardware components especially adders/subtractors employed for the filter design and frequency response. The proposed algorithm operates in such a way that the quality of the filter is sustained with less number of hardware components. The optimal tuning using the proposed algorithm is simulated and analyzed for highlighting the effective method. The analysis is progressed in terms of the number of components employed in the design, fitness, Mean Absolute Error (MAE), and magnitude. The result of the analysis proves that the proposed method is effective over the Least-Square method with the minimum hardware components of 236 with minimum MAE of 0.02. © 2019 Elsevier GmbH