N.J. Stat. § 17:33B-14
The commissioner shall, within 90 days of the effective date of this act, promulgate a schedule of automobile insurance eligibility points by rule or regulation adopted pursuant to the "Administrative Procedure Act," P.L. 1968, c.410 (C.52:14B-1 et seq.). The schedule shall assess a point valuation to driving experience related violations and shall include assessments for violations of lawful speed limits within such increments as determined by the commissioner, other moving violations, and at-fault accidents. For the purposes of this section, an "at-fault accident," occurring before the effective date of P.L. 2003, c. 89(C.17:30A-2.1 et al.), means an at-fault accident which results in payment by the insurer of at least a $500 claim and for accidents occurring on or after the effective date of P.L. 2003, c. 89(C.17:30A-2.1 et al.), means an at-fault accident which results in payment by the insurer of at least a $1,000 claim, which amount may be adjusted in $100 or $250 increments periodically by order of the commissioner no more frequently than every 36 months, as the commissioner deems appropriate, to reflect the cumulative increases or decreases in the components of the Consumer Price Index, All Urban Consumers (CPI-U) for the Northeast Region, and the adjusted amount shall apply to automobile accidents occurring at least 120 days after the effective date of the adjustment; except that an at-fault accident shall not mean an accident occurring as a result of operation of any motor vehicle in response to a medical emergency if the operator at the time of the accident was a physician responding to the medical emergency.
N.J.S. § 17:33B-14