Internet banking is the provision of banking services over the internet that gives people the opportunity of easy access to their banking activities. This paper focuses on the security of internet banking. It expresses that by the combination of two common mechanisms, PKI and biometric, a higher level of security can be achieved that resolves the key management problem. This paper presents a biometric signature based on the ECC (Elliptic Curve Cryptography) algorithm that has some advantages in comparison with the RSA-based biometric signature. The major advantage that dramatically improves security aspects in electronic banking is that using the ECC algorithm to create a biometric signature, it becomes possible to create public and private keys without storing and transmitting any private information anywhere.