Difference between US mint and national mint?

Most countries have what is referred to as its national mint. For example, the United States Mint is the national mint of the US, the Royal Canadian Mint is the national mint of Canada, and the Royal Mint is the national mint of the UK.

However, in the United States the "national mint" is officially called The US Mint and is always referred to by that name. Several private companies have tried to play off possible confusion by putting the Word "National" in their names, but they have no connection whatsoever to the US Mint. It's similar to the way a single government-run airline will carry the country's name in recognition of its status as the "flag carrier", while in the US where there is no official national airline, companies are free to name themselves American Airlines and US Airways even though they have no direct relation to the government.