The finding is based on almost two years of weather data collected from an impact crater near the planet's equatorial region.
"What we demonstrated is that under specific circumstances, for a few hours per day, you can have the right conditions to form liquid brines on the surface of Mars," Vincent Chevrier, an assistant professor at the University of Arkansas Centre for Space and Planetary Sciences, said.
The existence of briny water may explain a phenomenon observed by Mars orbiters called "recurring slope lineae," which are dark streaks on slopes that appear and grow during the planet's warm season.
Chevrier, however, believes that conditions on Mars are too harsh to support life.
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"If we combine observations with the thermodynamics of brine formation and the current knowledge about terrestrial organisms, is it possible to find a way for organisms to survive in Martian brines? My answer is no," he said.
Mars is cold, extremely dry, and has 200 times lower atmospheric pressure than Earth. Any pure water on the surface would freeze or boil away in minutes.
However, in 2008, NASA's Phoenix lander identified perchlorate salts in polar soil samples.
Perchlorates are rare on Earth, but they are known to absorb moisture from the atmosphere and lower the freezing temperature of water. The widespread existence of perchlorates makes liquid water possible on Mars.
The Curiosity rover confirmed the existence of perchlorates in equatorial soil, and provided detailed observations of relative humidity and ground temperature in all Martian seasons.
Though the briny water on Mars may not support life, it does have implications for future manned missions that would need to create life-sustaining resources such as water and oxygen on the planet, Chevrier said.
There is also the possibility that life once existed on ancient Mars, researchers said.
The study was published in the journal Nature Geoscience.