Santa Fe, New Mexico.
The highest US state capital based on altitude is Santa Fe, New Mexico. It sits at an elevation of approximately 7,000 feet above sea level.
The US has only one capital city. Therefore it must be Washington DC
The New Mexico Capital in Santa Fe has the highest altitude followed by the capital in Cheyenne, Wyoming and ranking third is Denver, Colorado.
Addis ababa is 3rd highest capital city ,at an altitude of 8,300 feet.
Madrid?
Santa Fe, New Mexico is the highest capital city in the United States with an altitude of 7,199 feet above sea level.
Quito, Ecuador (Highest Legal Capitol) La Paz, Bolivia (Highest Administrative Capitol)
Santa Fe, New Mexico is the US capital with the highest elevation.
Tegucigalpa (Honduras) is at an altitude of 990 m (3,250 feet).
La Paz, Bolivia is the capital with the highest elevation in the world. La Paz is the "de facto" capital of Bolivia. The official capital of Bolivia is Sucre, and it is the seat of Justice. La Paz has more government departments, hence the "de facto" qualifier. If you do not consider La Paz a capital city, then Quito, Ecuador is the capital with the highest elevation.
Glenville
La Paz, Bolivia is the world's highest capital, at an altitude of 11,913 feet above sea level.