The research progress on complex network morphology is summarized.Four basic operations,namely dilation,erosion,opening and closing and their properties are introduced in detail.Dilation order,erosion order,dilation ring,erosion ring,and morphology operations of two subgraphs are given.The measurement parameters and their calculating methods are provided with the content of complex network morphology.Complex network morphology can be used to analyze system topological structure under different scales,which gives convenience for studying complex network from all view angles including microcosmic to macroscopic.