Critical path method techniques have become widely recognized as valuable tools for the planning and scheduling of large projects. In this paper, we propose an algorithm to find out fuzzy critical path, fuzzy floats. We will use the well-known Yager’s ranking method to rank the fuzzy numbers. This paper consists of 4 sections. In Section 1, we will give the basics of network problem, fuzzy network problem and fuzzy numbers. In Section 2, we propose an algorithm to find out fuzzy floats. In Section 3, we will give numerical examples.