Kukës is a city in Albania. The city is the capital of the surrounding municipality of Kukës and county of Kukës, one of 12 constituent cou…Kukës is a city in Albania. The city is the capital of the surrounding municipality of Kukës and county of Kukës, one of 12 constituent counties of the republic. It spans 8.2 km² and had a total population of 15,643 people as of 2023.