The photo of Grand Prismatic Spring was posted on Instagram.
It was then deleted after criticism from other users.
The National Park Service says drones can harass wildlife and the noise is a nuisance to visitors.
Violation of the ban is a misdemeanor with a penalty of up to six months in jail and a $5,000 fine.
Similarly, a Dutch tourist crashed a drone into Grand Prismatic Spring in 2014 and was fined more than $3,000.