BEIJING, April 17 (Reuters) - A U.S. Navy patrol aircraft flew through the sensitive Taiwan Strait on Wednesday, just hours after a conversation between the Chinese and U.S. defence chiefs, in which Beijing warned Washington of the ultra-sensitive nature of the Taiwan issue.

China claims sovereignty over democratically governed Taiwan, and says it has jurisdiction over the strait. Taiwan and the United States dispute that, saying the Taiwan Strait is an international waterway.

The U.S. Navy's 7th Fleet said the P-8A Poseidon maritime patrol and reconnaissance plane, which is also used for anti-submarine missions, flew over the strait in international airspace.

"By operating within the Taiwan Strait in accordance with international law, the United States upholds the navigational rights and freedoms of all nations," it said in a statement. "The aircraft's transit of the Taiwan Strait demonstrates the United States' commitment to a free and open Indo-Pacific."

There was no immediate reaction from China.

The last time the U.S. Navy announced a

Poseidon

had flown through the strait, in December, China's military said it had sent fighter jets to monitor and warn the aircraft.

The latest Poseidon mission came shortly after U.S. Defense Secretary

Lloyd Austin

spoke with Chinese Defence Minister Dong Jun, the first engagement the two have had in more than a year as the two countries seek to restore military ties.

Dong told Austin that the Taiwan issue is "core of China's core interests and China's core interests must absolutely not be harmed," according to a readout from his ministry.

"The Chinese People's Liberation Army will never let any Taiwan independence separatist activities and external connivance and support go unchecked," it cited Dong as saying.

The United States is Taiwan's most important international backer and arms supplier despite the absence of formal diplomatic ties, and the issue is a constant irritant for Sino-U.S. relations.

U.S. military ships and aircraft transit the narrow Taiwan Strait about once a month.

Taiwan's government rejects China's sovereignty claims and says only the island's people can decide their future.

China has never renounced the use of force to bring Taiwan under its control. (Reporting by Ryan Woo; Writing by Ben Blanchard; Editing by Muralikumar Anantharaman and Gerry Doyle)