Leskovac is a city settlement and administrative center of the Jablanica Administrative District.

The settlement dates back to the Roman Empire. The medieval name of the settlement is Glubočica.

The legend says that under the hill near the present city there was a lake, and when its drying was occurred there was a plant of hazel (hazelnut), after which the city was named more than 700 years ago. The present name of the city as the name of the settlement was first mentioned in 1308 in the Charter of King Milutin.

During the NATO bombing of the FRY in 1999, Leskovac and its surroundings were bombarded almost daily. During a raid on April 12, 1999, a railroad bridge in Grdelicka Gorge hit the passenger train, which was crossing the bridge at that time. In this attack, several dozen civilians were killed.

In Leskovac there is the National Library Radoje Domanovic, which was created from the City Reading Room, founded in 1869. The library was designated in 1961 for the home library of the Jablanica District. The library now has over 80,000 books and other publications distributed in different sectors, among which are the loan and children's department, the foreign book, as well as the local department that was established in 2012 as a legacy and is named after Nikolai Timchenko and has over 15,000 titles.

On May 2, 1948, the National Museum was founded in Leskovac, comprised of three departments - ethnographic-archaeological, national liberation struggle with the workers' movement and the Textile Industry Museum. The museum then moved to a new building on May 10, 1974, which opened the possibility for the development of museum activities, and today it has more departments for archeology, history, art history, ethnology, conservation and souvenir making.