A biometric system is a sophisticated tool that identifies a person using information about them that is already recorded in a database. Biometric systems are becoming more and more common because they protect personal information and keep it private, making it difficult for someone to misuse personal information. However, maintaining the security and integrity of biometric templates can be challenging. Establishing a strategy for the biometric template security during communication over insecure networks is a crucial task. This research paper proposes an encryption algorithm to secure the biometric template based on the QZS algorithm, Equal modulus decomposition, and Baker chaotic map. The QZS algorithm is performed on two biometric templates and gets the image which is scrambled later by using a key obtained from the Baker chaotic map. In order to enhance the robustness of the cryptosystem, Equal Modulus Decomposition is performed on it. The robustness of the proposed algorithm is tested using several statistical analyses, including MSE, PSNR, SSIM, histogram, entropy, differential attacks, and cropping attacks.