There are a few ideas, predictions about where did name of the district come from. One of them is district’s name Of is comes from the word Ofsin which means “Defending the country furiously”.
Second prediction is Of comes from the word Ofis which mean “Snake curve or Section” in Greek. Of has so many up and down roads. Because of that it is possible that those roads can be seen as curve of a snake. Also there is a river called Sulaklı in the district. That name (Sulaklı) comes from Uzbek Turks. Also Of means weapon. Those informations shows it is possible that word Of is related to Turkish.
Of was established by one of the colonias of Miletus sailors. Until 312 BC it was a free land. Then it became part of Pontus Empire. After that Roman, Byzantine, Trabzon Empire and finally after 1461 the land became part of Ottoman Empire.