The study showed that the central part of the neighbouring galaxy, called the Large Magellanic Cloud (LMC), completes a rotation every 250 million years.
It takes our sun the same amount of time to complete a rotation around the centre of our Milky Way galaxy.
"By using Hubble to study the stars' motions over several years, we can actually, for the first time, see a galaxy rotate in the plane of the sky," Xinhua quoted lead author Roeland van der Marel of the Space Telescope Science Institute in Baltimore, Maryland, as saying in a NASA statement.
The researchers said the Hubble is the only telescope that can make this kind of observation because of its sharp resolution and its image stability.
"If we imagine a human on the moon, Hubble's precision would allow us to determine the speed at which the person's hair grows," van der Marel explained.
"This precision is crucial, because the apparent stellar motions are so small because of the galaxy's distance.
"You can think of the LMC as a clock in the sky, on which the hands take 250 million years to make one revolution. We know the clock's hands move, but even with Hubble we need to stare at them for several years to see any movement."
For the past century, astronomers have calculated galaxy rotation rates by observing a slight shift in the spectrum, known as the Doppler Effect, of its starlight.
The newly measured Hubble motions and the Doppler motions measured previously provide complementary information about the rotation rate of the LMC, located 170,000 light-years away, NASA said.
"Studying this nearby galaxy by tracking the stars' movements gives us a better understanding of the internal structure of disk galaxies," said co-author Nitya Kallivayalil of the University of Virginia.
"Knowing a galaxy's rotation rate offers insight into how a galaxy formed, and it can be used to calculate its mass."
The team next plans to use the Hubble to measure the stellar motions in the LMC's diminutive cousin, the Small Magellanic Cloud. NASA said the study should yield improved insight into how the galaxies are moving around each other and around the Milky Way.
The findings were published in the Astrophysical Journal.