The expense of full coverage car insurance in Alaska Can vary greatly depending on a variety of factors, such as the type of vehicle, the driver's driving and age record, and also the protection limitations chosen. In most cases, the cost that is average of protection car insurance in Alaska is around $1,500 per year. But, this expense are higher or lower depending on the individual's circumstances. It is important to check around and compare rates from various insurance providers to get the rate that is best available.