Arnold Schwarzenegger is addicted to eco-friendly doughnuts.

The actor-turned-politician - who is a former six-time Mr. Olympia bodybuilding champion - has developed an insatiable hunger for the calorific treats made at Frittelli's Gourmet Donuts, in Beverly Hills.

According to gossip website TMZ.com, Arnie visits the eatery at least once a week for his sugary fix and his favorite doughnut is the green apple fritter.

The Hollywood legend was criticised when he ran for California governor in 2003 for popularizing gas-guzzling Hummer cars, but Frittelli's primarily uses eco-friendly energy resources to produce their sweet delights.

Arnie is said to leave the store by uttering his famous "Terminator" line "I'll be back" to serving staff.

The 59-year-old star isn't the only celebrity regular at the doughnut store. Jennifer Garner and Justin Timberlake are said to be frequent visitors and their favorite doughy snack is the speciality Boston Cream.

Meanwhile, Arnie has had his 1965 Chevy installed with an environmentally friendly 800 horsepower engine that runs on biodiesel fuel, on MTV's "Pimp My Ride."

The episode - which aired last month to coincide with Earth Day - showed mechanics converting the 1965 Chevrolet Impala, by installing a new engine which cuts the car's emissions of greenhouse gases by 50 percent.

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