According to the seismological center affiliated to Tehran University's Geophysics Institute, the tremor was also felt in the city of Kerman.
The epicenter of the quake was recorded at 57.26 degrees longitude and 30.77 degrees latitude in the depth of 9km.
Hojdak is located 140 kilometers north of the provincial capital city of Kerman.
No casualties or damage to property have yet been reported.
Iran is one of the most seismically active countries in the world, as it straddles several major fault lines that cover at least 90% of the country. Some of the tremors which hit different parts of Iran have been destructive, causing huge number of damage to life and property.