Abstract: Now a days, it is fairly clear that the curve of challenges of authorized access has been increased sharply. This is due to the modern technologies and the easy use of the global access to internet. This led to increase the numerous of malicious attacks each a part of time against the authorized access. The important point of the complexity is the widely spread of the Internet coincide with the existing of threats. This study combines the knowledge of the security and the building of high robust authentication access in order to avoid the brute force attack. A new authentication approach is presented in this study for the purpose of strengthen text password. This technique is used graphical password which is generated an extra robust authentication access without needed to any of the additional resources. That is in this technique, the Qwerty keyboard is used only. In the core of this research, the mathematical model and the euclidean distance are used for the designing and implementation of the proposed system into two main phases. Firstly, the registration phase which tell us that the users input all credential information and generate their graphical password.While, the second phase is “the logging in” which used the information registered in the registration phase. The saved graphical password is tested with the registration password by the euclidean distance. The existing results are addressed which showed that the average time of the users logging in about 9 sec.