The Central District of Damghan County () is in Semnan province, Iran. Its capital is the city of Damghan.
The village of Kalateh was converted to a city in 2011.
At the time of the 2006 National Census, the district's population was 72,967 in 20,303 households. The following census in 2011 counted 76,495 people in 22,447 households. The 2016 census measured the population of the district as 81,894 inhabitants in 26,174 households.