Kalat District () is in Abdanan County, Ilam province, Iran. Its capital is the city of Murmuri.
At the time of the 2006 National Census, the district's population was 6,812 in 1,285 households. The following census in 2011 counted 6,614 people in 1,562 households. The 2016 census measured the population of the district as 6,847 inhabitants in 1,849 households.