A second Turkish drillship arrived off the northeastern coast of Cyprus on Monday.
The ship, the Yavuz, is expected to begin drilling for oil and natural gas near Cyprus this week.
Last month, European Union leaders warned Turkey to end its gas drilling in disputed waters around the island or face action from the bloc, after Greece and Cyprus pressed other EU states to speak out.
In a move that could further strain ties with Cyprus over exploration rights, Turkish Energy Minister Fatih Donmez was quoted by state-owned Anadolu news agency on Saturday as saying the Yavuz would start drilling within a week.
Yavuz had been at the southern Turkish port of Mersin doing final tests and taking on supplies before departing for Cyprus on Sunday. The shipping data showed that it arrived off the coast of the Karpas peninsula overnight.
Turkey already has a drilling ship, Fatih, off the west coast of Cyprus and Cyprus issued arrest warrants for its crew in June.