Now a day’s operating system manages the memory through Memory management schemes. Paging is one among them. If process required pages are not currently available in main memory, then through paging scheme, the necessary pages are copied from the secondary storage to main memory through page replacement. This phenomena is called as page fault. If process required pages are not available in main memory due to lack of free frames, while making execution over processor, automatically many page faults are occur. As a consequence the process is executed over the processor for a lengthy period. If sufficient number of free frames are available in main memory, then page faults will never occur. So here, in this paper we study about the correlation between Page faults and free frames.