“There is no question we are moving this city in the right direction, thanks to stepped up enforcement by the N.Y.P.D., strong traffic safety measures by the Department of Transportation, new laws passed by our legislators and the work of New Yorkers fighting for change,” the mayor said in a statement this week.

The new speed limit for most city streets went into effect in November. It was the first lowering of the general speed limit since 1964 and required state legislation because of a mandate that local limits could not dip under 30 m.p.h.

The City Council has passed a dozen bills on traffic safety, including one called Cooper’s Law, which was named for a 9-year-old boy who was fatally struck by a taxi on the Upper West Side in January. The bill allows the city to suspend and revoke the license of a taxi driver or livery driver who kills or maims a pedestrian who has the right of way.

In addition, the police have strengthened enforcement against dangerous driving, increasing summonses for speeding by 42 percent and for failure to yield to pedestrians by 126 percent, city officials said. More than 117,000 drivers were given summonses for speeding last year, compared with about 82,000 in 2013.

New York in 2014 also had lower numbers in nearly every major category of crime, including murder, according to Police Department statistics.