A substance capable of imparting a kokumi having CaSR agonist activity is described. This substance is able to impart kokumi in a superior manner, in particular, at the initial taste, and is also highly stable and can easily be produced at a low cost. The present invention thus provides a kokumi-imparting composition which includes such a substance as well as a complex kokumi-imparting composition which includes the substance and other substances possessing the CaSR agonist activities in combination. More particularly, the present invention herein provides a kokumi-imparting composition including γ-Glu-Nva (L-γ-glutamyl-L-norvaline), and a complex kokumi-imparting composition including the foregoing substance and another substance having a CaSR agonist activity, in combination.