Proteins are useful chiral selectors. In order to understand the recognition mechanism and chiral discrimination, the binding of the (R)- and (S)-enantiomers of a series of designed amino alcohol inhibitors based on propranolol to cellobiohydrolase Cel7A (Trichoderma reesei) has been studied more closely. X-ray crystal structures were determined of the protein complex with the (R)- and (S)-enantiomers of the strongest binding propranolol analogue. The combination of the structural data, thermodynamic data from capillary electrophoresis and microcalorimetry experiments and computational modelling give a clearer insight into the origin of the enantioselectivity and its opposite thermodynamic signature. The new crystal structures were used in computational molecular flexible dockings of the propranolol analogues using the program Glide. The results indicated that several water molecules in the active site were essential for the docking of the (R)-enantiomers but not for the (S)-enantiomers. The results are discussed in relation to the enantiomeric discrimination of the enzyme. Both dissociation constants (Kd values) and thermodynamical data are included to show the effects of the structural modifications in the ligand on enthalpy and entropy in relation to the enantioselectivity.