The Central District of Damavand County () is in Tehran province, Iran. Its capital is the city of Damavand.
The district was established in 1938 as Damavand District, a part of Tehran County. Its name was automatically changed to the Central District 1946 when it became independent from the county.
At the time of the 2006 National Census, the district's population was 69,829 in 19,643 households. The following census in 2011 counted 71,359 people in 21,158 households. The 2016 census measured the population of the district as 84,375 inhabitants in 26,337 households.