Turkey and the internationally recognised Greek Cypriot government have overlapping claims of jurisdiction for offshore oil and gas research in the eastern Mediterranean, a region thought to be rich in natural gas.
"In the coming days we will start drilling with two ships around Cyprus," Çavusoğlu was quoted as saying in a speech to a business conference in western Turkey's Aydın province.
"Let those who come to the region from far away, and their companies, see that nothing can be done in that region without us. Nothing at all can be done in the Mediterranean without Turkey, we will not allow that," Çavusoğlu said.
Turkey launched its first drillship "Fatih" in October to drill off the coast of Turkey's southern Antalya province. It said a second ship that it purchased would operate in the Black Sea, but was diverted to the Cyprus area.
The Turkish Republic of Northern Cyprus (TRNC) says any offshore wealth also belongs to them, as partners in the establishment of the Republic of Cyprus in 1960.
Cyprus has been divided since 1974 when Turkey used its guarantor rights to intervene in the island after a far-right military coup sponsored by the military junta then in power in Athens seeking to unite the island with Greece toppled President Archbishop Makarios III. Turks had already been forced to live in enclaves after decades of inter-ethnic violence and terror.