Researchers from the University of Utah's Seismograph Stations (UUSS) have been monitoring the activity since it began last Monday, June 12.
The strongest quake of 4.4 magnitude hit on Thursday, June 15.
The latest hit on Monday, June 19, with a magnitude three earthquake striking 14 km north northeast of West Yellowstone, Montana.
UUSS said the quake was part of 'an energetic sequence' of earthquakes magnitude two and larger in the area.
A spokesman said: 'The epicentre of the shock was located in Yellowstone National Park, eight miles north-northeast of the town of West Yellowstone.
"The earthquake was felt in the towns of West Yellowstone and Gardiner, Montana, in Yellowstone National Park, and elsewhere in the surrounding region."
Earthquake swarms are common in Yellowstone and, on average, comprise about 50 per cent of the total activity in the Yellowstone region.
Although the latest swarm is the largest since 2012, it is fewer than weekly counts during similar events in 2002, 2004, 2008 and 2010.
As well as the magnitude four tremor, five in the magnitude three range, 57 in the magnitude two range, 238 in the magnitude one range, 157 in the magnitude zero range, and six with magnitudes of less than zero were also recorded.
The tremors were recorded at depths from ground level to 14.5 km below sea level.
The University of Utah is part of the Yellowstone Volcano Observatory (YVO), which provides long-term monitoring of volcanic and earthquake activity in the region.
YVO is one of the five United States Geological Survey volcano observatories that monitor volcanoes within the United States for science and public safety.
In a written statement, a spokesman for the team said: "Yellowstone hasn't erupted for 70,000 years, so it's going to take some impressive earthquakes and ground uplift to get things started."
"Besides intense earthquake swarms, we expect rapid and notable uplift around the caldera.
"Finally, rising magma will cause explosions from the boiling-temperature geothermal reservoirs.
"Even with explosions, earthquakes and notable ground uplift, the most likely volcanic eruptions would be the type that would have minimal effect outside the park itself."
Yellowstone is the site of the largest and most diverse collection of natural thermal features in the world.
Seismic activity could be a sign of an impending eruption of the supervolcano, although this is currently impossible to predict exactly.
While it has lain dormant for more than 70,000 years, scientists say that we can't rule out the possibility eruption may some day take place, although they say the chances are extremely slim.
A magnitude 4.8 earthquake, which hit the park in 2014, was the most powerful to strike the area in nearly 30 years.
In 2013, a study into the super volcano found the underground magma chamber to be 2.5 times larger than previously thought, with the cavern spanning a 90km by 30km area and capable of holding tons of molten rock.
The volcano a sits atop a huge reserve of molten rock that last erupted 640,000 years ago.
It is one of the largest active continental silicic volcanic fields in the world. Silicic is used to describe magma or igneous rock rich in silica.
The Grand Prismatic hot spring in Yellowstone National Park is among the park's many hydrothermal features created by the Yellowstone supervolcano.
Experts say there is a one in 700,000 annual chance of a volcanic eruption at the site.
If the volcano were ever to erupt, observers say the outflow of lava, ash and smoke would likely devastate the United States and affect the entire world.
