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 km and had a total population of 15,643 people as of 2023.