Monaco, the capital of ...Monaco

Postcard

However very small with a population of only 36,000, MONACO  is a real country. A constitutional monarchy in the same vein as San Marino or the Vatican, a full member of the United Nations with its own royal family.

There is no geographical distinction between the State and City of Monaco." The capital of Monaco is Monaco, the country is a city and as such serves as its own capital. 

The city of Monaco is split up, like any other town, into several neighborhoods, one of them is MONTE-CARLO; the area on the hill overlooking the main harbor that houses the casino and the luxury hotels.