Transition metal palladium-catalyzed asymmetric reaction is an important and efficient method to synthesize chiral compounds.It has made considerable progress and achieved great success in the past decades.However, some reactions could not achieve high reactivity and excellent stereoselectivity just promoted by transition metal palladium catalysis.Therefore, it is of great significance to combine transition metal palladium catalysis and organocatalysis, which could be conducive to dissolve these challenging problems and received great attention.In recent years, a variety of asymmetric catalytic reactions have been efficiently realized by the synergistic catalysis system of transition metal palladium catalysis and chiral phosphoric acids with high chemo-, regio-, and stereoselectivity, and considerable research results and some important breakthroughs have been achieved.The recent progress of asymmetric allylation reaction, C(sp 3 )-H, C(sp 2 )-H functionalization and other reactions promoted by this synergistic catalysis system is summarized, the interaction between catalysts and substrates is systematically analyzed, and the influence factors of reactivity and selectivity are deeply discussed.