The present invention relates to a method for the enzymatic synthesis of enantiomerically enriched (R)-amines of general formula [1][c] from the corresponding ketones of the general formula [1][a] by using novel transaminases. These novel transaminases are selected from two different groups: either from a group of some 20 proteins with sequences as specified herein, or from a group of proteins having transaminase activity and isolated from a microorganism selected from the group of organisms consisting of Rahnella aquatilis, Ochrobactrum anthropi, Ochrobactrum tritici, Sinorhizobium morelense, Curtobacterium pusiffium, Paecilomyces lilacinus, Microbacterium ginsengisoli, Microbacterium trichothecenolyticum, Pseudomonas citronellolis, Yersinia kristensenii, Achromobacter spanius, Achromobacter insolitus, Mycobacterium fortuitum, Mycobacterium frederiksbergense, Mycobacterium sacrum, Mycobacterium fluoranthenivorans, Burkhoideria sp., Burkhoideria tropica, Cosmospora episphaeria, and Fusarium oxysporum.