Drivers with a high number of moving violations, like speeding and drunken driving, already can have their license suspended or revoked. But speeding and red-light camera tickets are tied to the vehicle, not the driver, so violations caught on camera do not count toward an individual’s license record.

Under the city’s plan, owners of vehicles would have to take a safety course unless somebody else was driving when the tickets were issued and agrees to take the class.

Mayor Bill de Blasio, who also supports the legislation, has made street safety a top priority. Besides speed cameras, the city has reduced the speed limit in much of the city to 25 miles per hour, has given pedestrians head starts at crosswalks and is spending $1.7 billion to add 250 miles of protected bike lanes.

The city also recently announced the formation of a special force of 100 police officers charged with enforcing traffic rules.

The safety campaign, known as Vision Zero, had steadily driven down traffic fatalities to their lowest rate in a century before last year’s reversal and has sparked a national conversation on making roads safer for pedestrians and cyclists.

“This is an area where more work needs to be done, drivers need to drive safely and responsibly, and there needs to be more accountability,” said Polly Trottenberg, the city’s transportation commissioner.

Evidence suggests that drivers who routinely flout traffic laws are more dangerous.

A preliminary study by the city’s Transportation Department and the University of Chicago of all camera-related violations between 2012 and 2019 found that vehicles with five or more camera violations during that period were nearly twice as likely as a vehicle with no violations to be involved in a crash that caused injuries.