With the development of tapering theory and technology, supercontinuum (SC) generation in conventional fiber tapers or tapered photonic crystal fibers continues to attract significant interests. Tapers are efficient in SC generation at both short and long wavelength due to their special dispersion properties and nonlinearities. This paper introduces the tapering technology first, and then the research progresses of SC generation in both conventional fiber tapers and tapered photonic crystal fibers are reviewed. Finally the prospects and applications SC generated in tapered fiber are presented.