Sangan District () is in Khaf County, Razavi Khorasan province, Iran. Its capital is the city of Sangan.
At the time of the 2006 National Census, the district's population was 19,726 in 4,291 households. The following census in 2011 counted 22,196 people in 5,342 households. The 2016 census measured the population of the district as 26,564 inhabitants in 6,664 households.