Bafq County is a county in Yazd Province in Iran. The capital of the county is Bafq. At the 2006 census, its population (including portions later split off to form Behabad County) was 51,507, in 13,307 families; excluding those portions, the population was 36,930, in 9,743 families. The county has only one district: the Central District. The county has only one city: Bafq.