It is believed that the continuous silicon carbide filament is so far an artificial fiber that has highest tensile strength and the highest tensile modulus， as well as very high thermostability. Its production technology passed from high oxygen content to ultra-low oxygen content, and from trace element composites to multiple elements composites, several key progressive periods. This article focuses mainly on the four key processes of continuous silicon carbide (SiC) filament production technology. These are: the chemical or catalytic process that converting organosilane monomer into organo-polysilane (PS); the process of converting a viscous PS solution or molten PS into long and dry fibers，i.e filament fabrication; the process that converting the original PS filament into polycarbosialne (PCS) in an inert and/or chemical vapor environment under controlled temperatures; and finally the high temperature thermochemical cross-linking process of converting the PCS filament into highly crystalline SiC filament in an inert and/or chemical vapor environment under high temperature program. It is obvious that only if one could completely familiar with and rigorously grasp these key processes, one would be able to effectively select a suitable technical processes, to choose or create suitable manufactureing facilities, and therefore to be able to produce high strength and high modulus continuous silicon carbide filament. And then one would be able to provide high quality source of continuous silicon carbide filaments for the nation’s aero and space, as well as high performance manufacturing industries.