It also comes as the United States and Russia clash over a number of issues, including accusations by Washington that Moscow has violated terms of the 1987 Intermediate Range Nuclear Forces Treaty (INF), and us complaints over recent Russian military operations near Ukraine.
The Kremlin claims ownership of the entire Peter the Great Bay region, named after the first emperor of Russian Federation.
Wednesday's operation came amid reports that the United States was considering moving a Navy warship into the Black Sea in connection with last week's incident in the Kerch Strait.
What Happened: The USS McCampbell has conducted a freedom of navigation operation (FONOP) in the Sea of Japan through territory that is partly claimed by Russian Federation in Peter the Great Bay, The Japan Times reported December 6.
"We reserve the right to operate freely in accordance with global laws and norms", he also said.
A US guided-missile destroyer sailed provocatively close to waters claimed by Russian Federation in the Sea of Japan, reports say Wednesday.
The US Navy called its sailing a "freedom of navigation" operation as it said Russia's claims far exceed the 12 nautical miles from the Russian coastline that is guaranteed under global maritime law.
By the way, the Peter the Great Gulf is the largest Gulf in the sea of Japan, also known as the East sea. According to her, it is not only Japan sea but also "other places" around the world.
Appearing at the Reagan National Defense Forum over the weekend, Mattis slammed Russian President Vladimir Putin's "duplicitous violation" of a nuclear weapons treaty and the recent seizure of three Ukrainian vessels in the Black Sea. Under the rules of the treaty, countries that do not have a coastline on the Black Sea are required to provide Turkey with at least 15 days' notice prior to transiting the straits.
"The U.S. files Montreux Convention requests regularly but doesn't always follow through by sending a ship", Eric Pahon, a Pentagon spokesman, told reporters Thursday.
The US destroyer was moving under the control of the big anti-submarine ship Admiral Tributs, the aircraft of Russian Pacific fleet aviation, according to the Russian Defence Ministry.
Last week, Mattis said there would not be a show of force in the Black Sea "at this time" but hinted some action was under consideration.