Mode multiplexing technology based on orbital angular momentum (OAM) in optical fiber has great potential in increasing the capacity of optical communication. The optical fiber suitable for OAM mode transmission has gradually realized the characteristics of more stable OAM signal transmission and longer transmission distance, as well as support for more OAM transmission modes through the optimized design of materials and structure. Starting from the optical fiber mode superposition theory, it analyzes and compares the research results, advantages and disadvantages, and suitable application scenarios of various optical fibers that can transmit OAM modes, including ring fibers and super-mode fibers designed based on traditional fibers, as well as hexagonal and circular photonic crystal fibers designed based on photonic crystal fibers, etc. Finally, a further prospect is made for the development of the optical fiber that suitable for the transmission OAM mode.