The synthesis of chiral compounds having fluorine atoms has become an important part of organofluorine chemistry in connection with analytical, biological and medicinal chemistry and opto-electric substances such as liquid crystals. This review is focused on asymmetric synthesis of chiral compounds having a fluorine atom or a fluoroalkyl group (especially a trifluoromethyl group). The examples cited in this review are divided in three different types; (a) asymmetric monofluorination, (b) asymmetric fluoroalkylation (trifluoromethylation), and (c) conversion from prochiral fluorinated compounds.