The Central District of Rigan County () is in Kerman province, Iran. Its capital is the city of Mohammadabad.
After the 2006 National Census, Rigan District was separated from Bam County in the establishment of Rigan County. In 2019, the village of Abbasabad-e Sardar was elevated to the status of a city.
In 2023, Posht-e Rig Rural District was established in the Central District, and Gavkan Rural District was separated from it in the formation of Rahmatabad District.
At the time of the 2011 census, the district's population was 46,150 in 12,201 households. The 2016 census measured the population of the district as 62,433 inhabitants in 16,468 households.