The network is a popular way to model the interactions among elements in nature， and it has been widely used in many studies. The human brain can be considered as a complex network after defining nodes and edges. In such a network， human cognitive functions and some brain diseases are closely related to the structure of the network. Brian network analysis is a popular research area with important applications in a variety of disciplines. It provides a powerful approach to many works， including exploring working mechanisms of the brain， understanding pathological underpinnings of neurological disorders， and improving the efficiency of the therapeutic and diagnostic in clinical. This paper reviews the concepts， methods， and applications of brain network analysis， and it is divided into three parts with a introduction， i.e.， brain network construction， brain network representation， and brain network analysis. Finally， we summarize this paper and discuss some new directions and problems for future research.