Furfural is the bridge connecting raw biomass to the biorefinery industry. The reductive transformations of furfural in aqueous medium is an important way to prepare a wide variety of fine chemicals. Plenty of downstream products can be obtained by heterogeneous catalyst, such as(tetrahydro) furfuryl alcohol, 2-methyl(tetrahydro) furan, lactone, levulinate, cyclopentanone, cyclopentanol, and so on. The activity of catalyst mainly depends on the properties of metal and support, as well as reaction conditions, such as temperature, time, solvent, and pressure and so on. The research progress of furfural hydrogenation for preparing cyclopentanone and cyclopentanol using different non-noble metal(Cu, Ni, and Co) and precious metals(Pd, Ru, Pt, and Au) based catalyst were summarized. It was found that Ru, Pd, Au, and Cu-based catalysts have higher selectivity than other catalysts, and Cu-Ni bimetallic catalysts have excellent catalytic activity and selectivity, while their stability needs to be improved. The mechanism of the hydrogenation reaction on the metal surface was discussed, and the results showed that the aqueous medium and weaker Lewis acid sites play an important role in the reaction of ring rearrangement. Meanwhile, the future research direction of the hydrogenation reaction of furfural in aqueous medium is proposed.