  This is the continuation of the author's ArXiv presentation "On packing of
Minkowski balls. I". In section 2 we investigate lattice packings of Minkowski
balls and domains. By results of the proof of Minkowski conjecture about the
critical determinant we devide the balls and domains on 3 classes: Minkowski,
Davis and Chebyshev-Cohn. The optimal lattice packings of the balls and domains
are obtained. The minimum areas of hexagons inscribed in the balls and domains
and circumscribed around their are given. Direct limits of direct systems of
Minkowski balls and domains and their critical lattices are calculated.
