We argue that the existence of the cold dark matter is explained by primordial black holes.We show that a significant number of primordial black holes can be formed in an axion-like curvaton model, in which the highly blue-tilted power spectrum of primordial curvature perturbations is achieved.It is found that the produced black holes with masses ∼ 10^20 -10^38g account for the present cold dark matter.We also argue the possibility of forming the primordial black holes with mass ∼ 10^5 M_ as seeds of the supermassive black holes.