Rigid origami is a very active branch in the field of origami， which can achieve continuous transformation between two-dimensional and three-dimensional during folding， and there is no strain inside the panel beyond the crease. So it is suitable for a variety of rigid deployable and foldable mechanism. The space deployable and foldable mechanism derived from the rigid origami pattern is characterized by high surface accuracy， large folding ratio， and few degrees of freedom， which can meet the requirements of space engineering for large scale， lightweight and high-precision space folding and unfolding mechanisms. Aiming at the future development tendency， an overview of rigid origami geometry and kinematic fundamentals is provided. The rigid origami typical patterns related to the space folding mechanism are expounded， and the characteristics of various configurations and related research progress are mainly introduced. According to the complexity of the crease， the application and research status of rigid origami for space deployable mechanism is reviewed from different rigid origami patterns. The future development direction and research focus of the space deployable and foldable mechanism based on rigid origami patterns are foreseen from five aspects， including innovative design of configuration， thickness-accommodation design method， dynamic characteristic analysis method， intelligent design method of mechanism， and microgravity unloading method. This research provides a reference for the research and application of large space folding mechanism.