How Much Will My İnsurance Go Up After An Accident?, Best Car Accident Attorney, Car Accident Attorney In general, the study found, drivers who make a single claim of $2,000 or more can expect their premiums to increase by 41 percent. That translates to a $335 increase for the average U.S. auto insurance premium of $815 a year. For the unfortunate souls who make two claims in one year, the increase jumps to 93 percent