Abstract : Several studies brought back the influence of the hydrogen pressure, more precisely the real hydrogen concentration dissolved in solution, on the enantioselectivity of the catalytic asymmetric hydrogenation for rhodium based catalysts. However to identify the enantiodetermining step(s), and to gain some further understanding on the hydrogen pressure-enantioselectivity relationship, the determination of the kinetic constants is required. We have thus embarked a project aiming such determination by coupling experimental work and theoretical chemistry. Two studies were undertaken on the asymmetric hydrogenation of both substrates by the Rh (I)/ (R,R)-Me-bpe catalyst. The experimental kinetic work study is based on the kinetic model suggested by Halpern in order to estimate the parameters kinetic of each elementary step, whereas that theoretical, consists in studying the various possible pathways by DFT calculation using the software of modelling Gaussian 03. The analysis of the obtained results made it possible to revisit the concepts' key of the catalytic asymmetric hydrogenation and to hold a discussion about the reliability of the theoretical methods to envisage the experiment.