It is very unlikely that any type of insurance would be canceled after you file a single claim. However, filing a claim could increase your premium on certain types of insurance. Your premium increase may be a percentage of the premium you were paying before the accident, or it may be based on a complex formula that assigns point values to various types of accidents. In most cases, your auto insurance policy will not be canceled unless you have a certain number of at-fault accidents within a given period of time.