The S-400 system is an advanced Russian missile system created to detect, track, and destroy planes, drones, or missiles as far as 402 kilometers away.
The newspaper said Turkey will receive 4 divisions of S-400 missile systems.
President Recep Tayyip Erdogan on Wednesday indicated that Turkey went ahead with the purchase of Russia's S-400 missile system because it was exhausted of waiting for another supplier.
Erdogan's deal with Russian Federation, for which he said a deposit has already been paid, is worth about $2.5 billion, the BBC News reported.
The Turkish president says Ankara will continue to take its own security measures after the acquisition of the S-400 surface-to-air missile defence systems from Russian Federation.
"Mr. Putin [President Vladimir Putin] and myself are determined on this issue", he told Turkish journalists aboard his presidential jet returning from a trip to Kazakhstan. What were we supposed to do, wait for you?
Neither the S-400 nor its Chinese equivalent FD200 is compatible with other North Atlantic Treaty Organisation military systems, meaning that they are not bound by NATO's instructions that prevent Turkey from using such weapons. The Pentagon has already expressed its dissatisfaction with the arms deal.
US Defense Secretary James Mattis stated earlier that the US will not impede the S-400 missiles deal, saying that it is a Turkish "sovereign decision".
"We have relayed our concerns to Turkish officials regarding the potential purchase of the S-400", Pentagon spokesman Johnny Michael told USA broadcaster CNBC in a statement on Tuesday.
Before gravitating towards Russian Federation, the Turkish military walked out of a $3.4 billion contract for a similar Chinese system. Turkey commands the second largest standing military inside of 29-member-state-NATO. He was referencing the US decision to arm the Kurdish YPG for the fight against ISIS in Syria, despite fierce protest by Turkey.