The problem of securing access to the online information is acute today when access to bank accounts, health records, intellectual property and business or politically sensitive information are made by only a few clicks, regardless of geographic location. At the same time, more and more of these accesses are made from handsets. Cloud Computing is eminently suitable for addressing problems related to limited client resources, as it offloads computation from clients and offers dynamic provisioning of compute resources. Authentication of the companys users to the cloud service is mandatory because in this way it is eliminated the attacks risks to enter into the Cloud services. A suitable authentication is required for organizations that want to access the Cloud services. Our solution regards increasing security at the Security Access Point level of Cloud Computing and it is in fact a strong hybrid user authentication solution based on using image combined with text in order to avoid the weakness of simple user and password solution for authentication. A two factor password image based authentication method is proposed in this paper for cloud services. This authentication approach is used without additional hardware involved and presents the advantages of utilization in terms of security and usability. Every time when the user will be asked to provide his/her identity, a form for each image included in the photo will be listed. The user will have to remember the secret code for each image and to carefully introduce them in the forms. The global cloud access solution will be based on our hybrid proposed text-image based solution, and will be completed by the X.509 certificates