The canopy structure of the 19th Asian Games Hangzhou hockey stadium is a super large membrane-covering arch reticulated shell structure supported by four corner-pedestal, which is novel and beautiful in form and complex in structural design. This article introduces the concept of frame supported membrane structure, the parametric modeling of membrane′s control surfaces, the parametric design of the structural framework, the form-finding of membrane structures, the load design value of canopy structure, the structural design and the main joints design of canopy structure.