Abstract: One of the most important problems in the design procedure of space structures is how to get rational shapes of freeform surfaces. Based on the concept of structural morphology, the fabrication of freeform surfaces can be combined to the method of pursuing optimal structures with rational mechanical performance, which can be defined as computational morphogenesis. In this paper, some concepts of structural morphology are introduced and some key problems are discussed simultaneously.The key problems can be abstracted as follows:Firstly, how to fabricate freeform surfaces?Secondly, what kind of generating methods are feasible for rational freeform structures. By discussing the questions above, some advices are proposed finally.