The present invention provides a process for producing a dipeptide or a dipeptide derivative using a phosphate donor, a substance selected from the group consisting of adenosine-5′-monophosphate, adenosine-5′-diphosphate and adenosine-5′-triphosphate, one or more kinds of amino acids or amino acid derivatives, and as enzyme sources, a protein having polyphosphate kinase activity, or a culture of cells having the ability to produce the protein or a treated matter of the culture, and a protein having the activity to ATP-dependently form the dipeptide or dipeptide derivative from one or more kinds of amino acids or amino acid derivatives, or a culture of cells having the ability to produce the protein or a treated matter of the culture.