One of the rocks is between 950 and 2,100 feet (290-650 meters), which means it is classified as a "medium" asteroid.
The other is slightly smaller and between 400 and 850 feet (120-260 m) wide meter).
NASA is confident that none of the asteroids will hit Earth.
In a statement, NASA's planetary defense officer Lindley Johnson said, "These asteroids have been well observed since 2000 and since 2010 their orbits are well known.
"Both asteroids travel about 14 lunar distances from Earth or at a distance of about 3.5 million miles, but small asteroids move so close to Earth the whole time."
The first asteroid named 2010 CO1 will come closest to Earth on early Saturday morning.
This is the larger of the two asteroids, although NASA considers both "medium-sized" space rocks.
There will be a second one, called 2000 QW7, which will be at its closest point to our planet at 0.54 am on Sunday.
To be classified as large by NASA, an asteroid must have a diameter of 1
This is the point where the collision with Earth is likely to have global consequences, rather than a regional issue.
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It last passed Earth in September 2000, when it was first identified by scientists.
] After the weekend, there will not be a similar approach until 2038.
NASA is tracking large asteroids near Earth to see if they can collide and cause damage.
Sometimes, however, authorities are surprised. especially by smaller rocks.
NASA recently admitted that it identified only one asteroid, 2019 MO, hours before it crashed to Earth.
The collision took place on June 29 and the asteroid burned off in the atmosphere over the Caribbean.
2019 MO was about 300,000 from Earth when it was identified by NASA.
This is further from our planet than the moon.
In a statement, NASA claimed it was "about the equivalent of discovering something the size of a distant mosquito of 310 miles".
The asteroid was discovered by the ATLAS Surveying Telescope at the University of Hawaii.
In February 2013, an asteroid broke out over Chelyabinsk in Russia, injuring 1,200 and damaging at least 7,000 buildings.
The asteroid was about the size of a six-story building.