The new home is located in the swanky Brentwood neighborhood, not far from the family home she shared with Schwarzenegger during their 25-year-marriage.
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Shriver, 55, officially filed for divorce from the former California governor last week - two months after Schwarzenegger, 63, revealed he had fathered a child with a former household employee during his marriage to Shriver.
And she's already moving on from her broken marriage - Shriver has bought a new $US10 million ($A9.38 million) home in Brentwood, California - not far from the estate she shared with Schwarzenegger during their marriage, according to TMZ.com.
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Schwarzenegger, who has four children with Shriver, could even exceed his legal obligations and give his soon-to-be ex-wife the majority of his Hollywood fortune in their upcoming settlement, a source told Radar Online.
The settlement proceedings will be overseen by a private judge, the source added, in order to prevent details of the pair's marriage from leaking to the media.