The San Francisco Chronicle reports the California Department of Transportation settled for $700,000, but in doing so did not admit any wrongdoing.
In their lawsuit, 56-year-old Tahir Fakhar's family accused Caltrans of not adequately warning drivers about the sharp new curve.
State officials have said Fakhar was traveling too fast and that his truck was carrying tons more weight that it should have.
The settlement comes as Caltrans plans to open the new, $6.4 billion eastern span of the bridge early next week.