The required coverage and limits in Washington State are: Learn More About Required Auto Insurance in Washington Whether you've recently bought a car, moved, or are just looking for cheap auto insurance in Washington State, you can start your free auto insurance quote with GEICO anytime. In fact, it is one of the most eye-catching states in the U.S. With 3 national parks and 9 national forests, Washington has earned its nickname. Before you take a scenic drive to Mount Rainier National Park, or anywhere else in the Evergreen State be sure you have the necessary car insurance for your vehicle because all Washington State drivers are required to have it.