In New York, if a driver is convicted of a violation where a passenger under age 16 is not wearing a set belt or in a child safety seat, 3 points are assigned to the driver's record. If convicted of a seat belt violation involving the driver or a passenger age 16 or older, no points are assigned to the driver's record.
The conviction itself for the offense will still likely go on your New York license. If so then violation convictions normally remain on a New York State driver's record during the year that the conviction occurred and the following 3 calendar years.
The New York State DMV removes the conviction from your driver record on January 1 of the forth year. For example, a conviction occurring in 2006 remains on your driving record until January 1, 2010.