The selective hydrogenation of α, β-unsaturated aldehydes/ketones enables precise control over product structures and properties by regulating hydrogen transport pathways and bond cleavage sequences to selectively reduce C=C or C=O bonds while preserving other functional groups within the molecule. This approach serves as a critical strategy for the directional synthesis of high-value molecules. However, achieving such selectivity remains challenging due to the thermodynamic equilibrium and kinetic competition between C=O and C=C bonds in α, β-unsaturated systems. Consequently, constructing precisely targeted catalytic systems is essential to overcome these limitations, offering both fundamental scientific significance and industrial application potential. Metal-organic frameworks (MOFs) and their derivatives have emerged as innovative platforms for designing such systems, owing to their programmable topology, tunable pore microenvironments, spatially controllable active sites, and modifiable electronic structures. This review systematically summarizes the research progress of MOF-based catalysts for selective hydrogenation of α, β-unsaturated aldehydes/ketones in the last decade, with emphasis on the design strategy, conformational relationship, and catalytic mechanism, aiming to provide new ideas for the design of targeted catalytic systems for the selective hydrogenation of α, β-unsaturated aldehydes/ketones.