Intelligent Tutoring System on the cloud considers the student's learning style and quality of education. This paper presents a general architecture of ITS using the cloud paradigm for effective working of distance learning education system. In ITS cooperative learning is achieved either by interaction between the student and the tutor or inside the group of learners. Intelligent Tutorial System is generally used for any trends of study like mathematics, physics, computer etc. Cloud computing is nothing but privatization of Internet on demand and with complete scalability of required resources which is very useful for Intelligent Tutoring System. ITS hosted on the Cloud will provide effectual services using cloud's secure layer. This paper further discusses the security challenge faced by intelligent tutorial system's access through cloud. This security threat can hence be trounced using RSA algorithm. Internally RSA implements a public-key cryptosystem wherein each user has his own encryption and decryption procedures.