The Central District of Saman County () is in Chaharmahal and Bakhtiari province, Iran Its capital is the city of Saman.
In 2013, Saman District was separated from Shahrekord County in the establishment of Saman County, which was divided into two districts of two rural districts each, with Saman as its capital and only city at the time.
At the time of the 2016 National Census, the district's population was 24,449 inhabitants living in 7,792 households.