Operational research (OR) is an area of science that develops techniques to optimize system efforts. Applications of OR are found in business, industrial, military and governmental areas, among others. The study of OR can be divided in several sub areas one of them is mathematical programming,real,complex and fuzzy.Our aim in this book is to study a certain kind of mathematical programming called fuzzy complex programming problems. The thesis consists of five chapters: Chapter 1 is considered as an introductory chapter which is devoted to summarize some definitions, concepts and theorems for complex mathematical programming problems. in Chapter 2 we present a brief survey on fuzzy mathematical programming problems, definitions, formulations and theorems. Chapter three is devoted to discuss the solution of complex programming problem via Lexicographic order. Chapter4: Our goal in this chapter is to study a fuzzy complex programming with fuzzy objective function by using the concept of fuzzy complex number Chapter 5: The general conclusions and some recommendations for future studies were introduced in this chapter.