The Mistral will lead exercises next month near Guam, along with forces from Japan, the United States and Britain, practicing amphibious landings around Tinian, an island about 2,500 km (1,553 miles) south of the Japanese capital of Tokyo.
The drills, involving 700 troops, were planned before Saturday's test-firing of a ballistic missile by North Korea, in defiance of world pressure, in what would be its fourth successive unsuccessful missile test since March.
Japan and the United States are worried by China's efforts to extend its influence beyond its coastal waters and the South China Sea by acquiring power-projecting aircraft carriers, a concern shared by France, which controls several Pacific islands, including New Caledonia and French Polynesia.
Even as they seek stronger economic ties with China, both France and Britain, which has two navy helicopters aboard the Mistral, are deepening security cooperation with Japan, a close US ally that has Asia's second-strongest navy after China.
The Mistral forms part of an amphibious task force mission, the Jeanne d'Arc, that is "a potent support to French diplomacy," the country's defence ministry said in a statement.
Officials and children's welcome dances greeted the Mistral in Sasebo, on the western island of Kyushu, a major naval base for Japan's Maritime Self Defense Force (MSDF) and the US Navy.
The Mistral, which left France in February, can carry up to 35 helicopters and four landing barges, besides several hundred soldiers. It will stay in Sasebo until May 5.
This month China launched its first domestically-built aircraft carrier. It joined the Liaoning, bought from Ukraine in 1998, which led a group of Chinese warships through waters south of Japan in December.
China's military ambitions, however, have been overshadowed in recent weeks by tension on the Korean peninsula as Pyongyang conducts long-range missile tests, and prepares for a possible sixth nuclear test.
"We did not expect the start of our visit to coincide with a North Korean missile launch, France's ambassador to Japan Thierry Dana said on the Mistral's bridge. "Cooperation between our four nations in upholding laws, peace and stability in the region will display our readiness to deal with North Korea," he added.
In a show of force, the United States has sent the USS Carl Vinson aircraft carrier group to nearby waters, where it will join the USS Michigan, a guided missile submarine that docked in South Korea on Tuesday.
The Carl Vinson entered the Sea of Japan on Saturday, where it completed naval drills with two Japanese warships dispatched from Sasebo, an MSDF spokesman said.
(Reporting by Nobuhiro Kubo, Writing by Tim Kelly, Editing by Clarence Fernandez and Muralikumar Anantharaman)