This paper presents an image encryption technique using the LFSR (Linear‐Feedback Shift Register)‐based multiple ants cellular automation with Chaotic map, where LFSR is used to produce pseudo random series that shuffle the pixel positions of an image. We then are using a shared secret key and chaotic map, the each pixel's intensity value of an image is altered and finally gets a ciphered image. Analysis of our proposed method shows a major protection for different statistical attacks. Moreover, our method provides better tradeoff between the entropy and correlation coefficients among the existing methods. The results of investigation and mathematical analysis confirm the protection, flexibility, correctness, reliability, and the robustness of the proposed scheme. The different security analysis confirms that the new encryption algorithm has higher security.