Umami‐ and kokumi‐taste‐active peptides in Maillard reaction products of enzymatic hydrolysate of bovine bone marrow extract (BBME) were purified and identified by ultrafiltration, gel filtration chromatography, reverse‐phase high‐performance liquid chromatography, liquid chromatography/quadrupole‐time of flight mass spectrometry (LC‐Q‐TOF‐MS/MS) and sensory evaluation. Eight umami and kokumi taste oligopeptides were found in the enzymatic hydrolysate of BBME. After Maillard reaction, the numbers of oligopeptides increased to twelve, such as Ala‐His, Ala‐Val‐His, Gly‐Pro, His‐Gly, Pro‐Ala‐His, Pro‐Val‐Asn‐His, Phe‐Glu‐Ala, Ala‐Ala‐Cys‐Arg, Leu‐Met, Leu‐Thr‐His, Pro‐Gly‐His, Ser‐Thr‐Gly‐Arg, which are linked to a variety of functional properties, such as ACE inhibitor, prolyl endopeptidase inhibitor and dipeptidyl peptidase IV inhibitor, etc. Eight peptides, including Cys‐Pro‐Arg, Ser‐Gly‐Val‐Glu, Pro‐Cys, Cys‐Glu, Cys‐Met‐Thr, Phe‐Glu‐Ala, Ala‐Gln and Leu‐Met, were synthesised and then subjected to sensory evaluation. The evaluation showed that among the eight peptides, Cys‐Pro‐Arg, Pro‐Cys and Leu‐Met led to the distinctly enhanced kokumi taste in blank beef soup.