Not the first action for the US Marines but it was an early one...
The US Marine Corps first amphibious landing was to capture Fort Nassua on the Bahamas in 1776.
en.wikipedia.org
Note: US Navy Leiutentant John Paul Jones, founder of the US Navy, participated in this action.
The Marines Hymn includes "to the shores of Tripoli" where in 1805 Marine Corps Lieutentant Presley O'Bannon led eight Marines and mercenaries to capture the city of Derna, near Tripoli.
en.wikipedia.org
Excerpt from Wikipedia;
"The turning point in the war was the Battle of Derna (April–May 1805). Ex-consul
William Eaton, a former Army captain who used the title of "
general", and Marine Corps 1st Lieutenant
Presley O'Bannon led a force of eight Marines and 500 mercenaries—
Greeks from Crete,
Arabs, and
Berbers—on a march across the desert from
Alexandria, Egypt, to capture the Tripolitan city of
Derna. This was the first time the United States flag was raised in victory on foreign soil. The action is memorialized in a line of the
Marines' Hymn—"the shores of Tripoli".
December 8, 1805, Marine Lt. O'Bannon was presented a Mamaluke Sword by the Ottoman Empire Viceroy in recognition for this action.
https://en.wikipedia.org/wiki/Mameluke_sword
The Mamaluke Sword became the USMC Officer Sword and is the oldest weapon in the USA military in continous use.
View attachment 727227