The Central District of Bafq County () is in Yazd province, Iran. Its capital is the city of Bafq.
At the time of the 2006 National Census, the district's population was 36,930 in 9,743 households. The following census in 2011 counted 41,876 people in 12,288 households. The 2016 census measured the population of the district as 50,845 inhabitants in 15,156 households.