In this era of information explosion, the improvement of communication capacity has become an urgent problem, and the improvement of transmission speed and the reduction of channel spacing are near the limit, so widening the available bandwidth of fiber optic transmission is the most feasible method. The research progress of fiber optic amplifiers is analyzed, and the outlook is presented. Researchers are working to find breakthroughs in C++ band, L++ band, and C+L band, starting with amplifiers materials, structures, and designs. The EDFA targeted C++ and L++ band have been widely studying these years while different types of amplifiers have been invented to simultaneously work on C+L band. Also, as quantum dot is introduced to design innovated fiber amplifier, more new amplifiers need to be invented to achieve better amplification. This paper presents the recent research results of the above-mentioned research directions, and the next goal of researchers is to stabilize all these amplifiers gain flatness and production implement ability.