Hydrofunctionalisation and difunctionalisation of dienes, allenes, and alkynes are widely utilized in the synthesis of valuable allylic compounds. In the past decades, asymmetric catalysis has emerged as one of the most attractive fields in organic synthesis. Recently, the asymmetric versions of hydrofunctionalisation and difunctionalisation reactions have become powerful and compelling tools to afford enantiopure allylic compounds, appealing to a large range of chemists. Various metal complexes modified with a large number of chiral ligands and several chiral organocatalysts have been developed to promote the hydrofunctionalisation and difunctionalisation reactions and expand substrate scope. This review provides an overview of this field, and aims at summarizing the chiral ligand used in this area of research. A detailed discussion of the development of these reactions and the general reaction mechanisms is provided.