With an increasing emphasis on security, automated personal identification based on biometrics has been receiving extensive attention since its introduction in 1992. In this study, authentication system contained two parts: registration part and matching part. In both parts, iris image is used for personal identification. Localization of inner boundary only, extracted a region from the iris (without eyelashes problem), a feature vector is deduced from the texture of the image. The feature vector is used for classification of the iris texture, then it's treated by the hash function to produce the hash value (authentic value of a person). In matching part, produced hash value searched in the authorized person's database for taking a decision (success or fail) of the authentication. The method was evaluated on iris images takes from the CASIA iris image database version 1.0 [15]. The experimental results show that the vector extracted by the proposed method has very discriminating values that led to a recognition rate of over 100% on iris database. Also, authentication system is very accurate because it's used a secure method of authentication that iris-biometric and a hash function for avoiding stealing data from database.