The progress in fabrication method of long period fiber grating（LPFG）is introduced.The classification of fabrication about LPFG is expounded;it can be classified as the LPFG written in the normal optical fiber and the LPFG written in the special optical fiber.The former can be classified as the LPFG made with non-deformation and the LPFG made with deformation.The methods based on non-deformation are represented by fabricating LPFG with amplitude mask and fabricating LPFG written step by step.The optical fiber used to make LPFG with deformation is generally little deformed using slots.The characteristics of every method are given.