The mineral first discovered on the Moon and named for a landing site was tranquillityite.
Researchers identified tranquillityite in basaltic rocks returned by Apollo 11 from Mare Tranquillitatis, the Sea of Tranquility. Its name honors the Apollo 11 landing region, where Neil Armstrong and Buzz Aldrin first walked on the Moon in July 1969. The mineral was also found in Apollo 12 samples, showing that it was not restricted to a single lunar collection site.
Tranquillityite is a rare iron-titanium-zirconium silicate that occurs as a very minor accessory mineral in lunar basalt. Because it is extremely small and uncommon, it was recognized only after detailed laboratory study of the returned rocks. Its composition and radioactive elements made it useful in investigating the age and geological history of lunar basalt.
The question’s wording points to a discovery on the Moon, not merely a mineral later found in lunar meteorites. Tranquillityite was long considered uniquely lunar, although terrestrial examples were identified in Western Australia in the 21st century. Ilmenite and pyroxene are common lunar minerals, while armalcolite was named after the Apollo 11 astronauts.