The princess on Monday used the dark blue Lexus LS 600h for a drive to a cinema in Oslo, tabloid Verdens Gang (VG) reported.
The Lexus LS 600hL sells for roughly $300 000 in Norway, making it an exclusive vehicle that is also touted as the millionaire's "environmental car," the report said.
According to Verdens Gang, it was the first time the royals have included a Japanese-made vehicle in the official fleet, traditionally dominated by German brands.
"The environment is always a factor when considering new vehicles," palace spokeswoman Astrid Versto was quoted as telling VG.
Crown Prince Haakon and his wife also own a Lexus RX 400h and two Toyota Prius hybrid cars, VG said.