Does international Law always help in filling up the gap when there is no national law ?

Question

whether international Law should be consider as Law of nation?

Answer 1

Not at all. International law is, as you say, the law of nations and applies only as between sovereign states. Human Rights Law may apply within a country, but this is something relatively new. Treaty law, a branch of international law, may have something to say in specific cases.

The gaps in law are filled by the common law (in Anglo-American law systems) and by the Roman law tradition in most civil law countries.

Answer 2

No, international law has nothing to do with domestic law unless the nation in question adopts it or someone militaralisticly imposes it.

Answer 3

yes it is