Karvan District () is in Tiran and Karvan County, Isfahan province, Iran. Its capital is the city of Asgaran.
At the time of the 2006 National Census, the district's population was 31,126 in 8,395 households. The following census in 2011 counted 32,648 people in 9,761 households. The 2016 census measured the population of the district as 32,684 inhabitants in 10,147 households.