Talks about the plane come after Erdogan's daughter-in-law, Pratt Alberg, and the Treasury and Treasury Secretary announced a package of austerity measures.
The aircraft joins the Turkish government fleet of 11 aircraft.
The Turkish government did not comment, but pro-government media said the plane was a "gift".
Kokpit.aero private news site said: "This gift from Prince Tamim comes as an expression of his love and confidence in Erdogan and Turkey," after the Turkish President expressed interest in the plane after the offer for sale for 400 million dollars after only 3 years of purchase.
The pro-government daily Gunesh said the "gift" plane had already arrived in Turkey.