The effective biocompatible and partially biodegradable micellar nanocarriers for encapsulation of the anticancer drug eumelanin were created. Such nanocarries are the products of self-assembly of asymmetric diblock and triblock copolymers, which comprised chemically complementary (methoxy)poly(ethylene oxide) and poly(acrylic acid) blocks of a variable length. A chemical structure and solubility of the eumelanin, the vital activity product of black yeast Nadsoniella nigra sp. X-1, was characterized. Peculiarities of the micellization process, morphology, size and stability of the developed micellar nanocarries were highlighted. The eumelanin encapsulation into micellar nanocarries with different morphology and a state of the obtained drug/micelle systems were studied and discussed.