Abstract: Since the homozygote of sex alleles or inbreeding has a great role in the different characteristics of honey bees colony`s like the production of honey, this phenomena has been considered in Mianeh. In order to do this 5% of modern hives were chosen and considered in this area. According to the given method by Rotner. The cells which were free of brood were recorded and considered as index of inbreeding. Also the honey production was measured by weighting the hives. Inbreeding studies showed no significant differences between several of Mianeh so that the percent inbreeding was 9.22, 10.93 and 23.48 for Kandowan, Torkmanchai and Kaghazkonan, respectively. The total mean value in Mianeh was estimated as 15.05%. Mean honey production per hive was 11.9 kg. According to this study there were significant negative relationship between inbreeding and honey production (r = -0.57).