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In this work, an optimal infinite impulse response (IIR) filter is designed using least Pth norm and new meta‐heuristic optimization algorithm called Crow Search Algorithm (CSA). The two approaches try to get a resolution to the specified problem but use unlike approaches to perform so. Furthermore, the ℓp‐norm is used to design optimum IIR filters. The main motivation of using CSA is its user‐friendly optimization tool for both beginner and professional users. This Algorithm provides a good stability between variety and strength which are mainly controlled by the parameter of awareness probability. Some examples of IIR filter design cases are treated, and a comparison is done. It is revealed that the design objective is successfully attained, and the resultant filter parameters are better using the ℓp‐norm combined with the proposed CSA meta‐heuristic optimization algorithms compared with IIR filter designed using butter synthesis approach in terms of accuracy and robustness. Classical approaches are largely outperformed by CSA for the same filter order. [ABSTRACT FROM AUTHOR]