Schwarzenegger and Shriver's divorce comes after news broke that Schwarzenegger fathered a child with a member of his household staff. He kept it a secret for more than a decade.
The dispute may have little impact on the divorce since they are expected to reach a confidential, out-of-court settlement. The agreement would only become public if there was a later dispute over its terms, or they opt to handle their divorce through a Superior Court judge.
According to the court filing, Schwarzenegger and Shriver do not have a prenuptial agreement, which means they will split their assets in half. Schwarzenegger will still be expected to provide financial support for his children.
Both Schwarzenegger and Shriver seek joint custody of their sons, ages 17 and 13.
The couple announced in May they were separated after 25 years of marriage.
The Associated Press contributed to this report.