Fuzzy number and fuzzy-valued functions are the basic concepts in fuzzy analysis.Generally, the operations of fuzzy numbers and fuzzy-valued functions are provided with the form based on the (extension) principle. This paper presents the concept of fuzzy structured element, discusses some of its useful properties, proves the structured element representation theorem of fuzzy number and (fuzzy-valued) function and gives the differential and integral calculation method of fuzzy-valued (functions) using fuzzy structured element method.