The girls nabbed the vehicle in the early hours of Saturday in Knivsta, just south of Uppsala in eastern Sweden, according to a report in the local Upsala Nya Tidning (UNT) daily.
The pair took turns to drive the car and their illicit joyride ended when they flipped the car onto its roof on the main E4 motorway.
Police arrived on the scene shortly after to find the vehicle but no sign of a driver.
The girls are reported to have escaped unscathed from the violent crash and fled the scene by ordering a taxi to take them to Uppsala.
The pair are now suspected of car theft and of fleeing the scene of an accident. The girls' parents and municipal social services have been informed of the incident, according to UNT.
In a separate incident a 14-year-old boy was stopped by police near Uppsala on Sunday morning after being spotted driving a stolen car at high speed.
The teenager was accompanied by another boy and girl, also 14-years-old.
"These boys have got out of a home and then stolen the car," said Torsten Hemlin at Uppsala police to UNT.
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The car is reported to have been driven at high speed and the boy is suspected of having broken a litany of traffic regulations. The boys are suspected of vehicle theft and the driver is also suspected of reckless driving.
The social services have been contacted.
The girl is not suspected of any crime.