Android mobile operating system, which is based on Linux Kernel 2.6, has open source license and adaptability to user driven applications. As all other operating systems it has all the basic features like process scheduling, memory management, process management, etc., associated with it. Any mobile platform works smoothly when the process scheduling is performed in a proper way. Ideal platform is that in which no resource conflict occurs. Thus, scheduling in every manner is essential for the operating system to adapt itself with the requirement of a particular application. In this paper, priority based pre-emptive task scheduling is proposed for the SMS application.