A low-cost, feasible and modular method for the preparation of new, highly selective "catalytic membranes" and their use in various types of reactors is disclosed. The membranes are versatile and reusable with negligible catalyst leaching, especially in the asymmetric hydrogenation of substituted α,β-unsaturated acids or esters. The membrane comprises a hybrid inorganic / polymer carrier material (i) and a molecular catalyst (ii) immobilized on the hybrid inorganic / polymer carrier material (i), wherein -(i) consists of an inorganic compound and an organic The hybrid inorganic / macromolecular compound composed of polymer chemical combination; -The inorganic compound is at least one selected from silicic acid compound, tungstic acid compound, molybdic acid compound and stannic acid compound; -The organic polymer Has a hydroxyl group, preferably polyvinyl alcohol (PVA); -(ii) is a pre-formed metal catalyst comprising at least one selected from Ru, Rh, Pd, Ir, Ni, Pt, Au A transition metal and at least one chiral ligand selected from phosphinos, aminos and / or amino-phosphines, preferably DIOP, BINAP monophosphorus or TMBTP.