TOKYO, May 18 (Reuters) - Japan's industry ministry said on Wednesday it will hold an auction on June 10 to sell 750,000 kilolitres, or 4.7 million barrels, of oil from its national reserve as a part of a release coordinated by the International Energy Agency (IEA) to cool prices.

Prime Minister Fumio Kishida said in April that Japan would release a record 15 million barrels of oil from its national reserves as part of a second round of the IEA-led coordinated release.

Six million barrels will come from privately held reserves and 9 million barrels from state reserves, the ministry has said.

Japan had about 470 million barrels of petroleum reserves at the end of January, or 236 days of domestic consumption, comprising state reserves, private reserves held by local refiners' tanks and a joint crude oil storage scheme with producing countries.

The ministry last week sold about 760,000 kilolitres (4.8 million barrels) of Kuwaiti Hout crude from state reserves through a tender.

At the second tender to be held next month, Japan will sell about 370,000 kl (2.3 million barrels) of oil from the Tomakomai-tobu tank in northern island of Hokkaido, 250,000 kl (1.6 million barrels) from the Onahama tank in eastern Japan, and 130,000 kl (0.8 million barrels) from the Okinawa tank in southern Japan.

The supply will be available to the winning bidders on July 20 or later.

The June auction will be the last round for the release from state reserves, an official at the ministry said.

Japan's top refiner ENEOS, which won the auction last week, will load 160,000 kl between June 20 and Sept. 30 from Kiire tank and another 320,000 kl during Aug. 11 to Sept. 17 from Kamigoto, the ministry's official and trade sources said.

Chinaoil, another winner, will be loading 280,000 kl between June 20 and Sept. 30 from Shirashima, they said. (Reporting by Yuka Obayashi in Tokyo and Florence Tan in Singapore; editing by Tom Hogue and Jason Neely)