"Tonight we took a huge step forward", Mr Adams was quoted as saying by the New York Times.
Brooklyn Borough President Eric Adams took the lead in the Democratic primary for New York City's mayoral race Tuesday, but it will still take weeks to produce an official victor.
Primary Day in New York City is officially over, and Brooklyn Borough President Eric Adams leads in first-place votes cast in the race for the Democratic nomination for mayor.
Adams received 31.7% of the vote Tuesday, with more than 253,000 voters selecting him as their top choice.
The ranked preference voting system works by eliminating the candidate who comes last and redistributing the ballots cast for them to voters' second choice candidate.
At the end of each round, the last-place candidate is eliminated and voters who chose that candidate will have their vote counted instead for their second choice. Officials say the elimination and redistribution process is expected to stretch well into July. "And I am not going to be mayor of New York City based on the numbers that have come in tonight", the 46-year-old told supporters.
"This has been an wonderful journey", Adams told reporters after voting in Brooklyn, emotionally recounting how his path into both law enforcement and politics began at age 15, when he was beaten by police officers.
As a former officer, but one who spent his career fighting racism within the department, Adams may have benefited most from the policing debate.
Russian Federation says it fired warning shots at United Kingdom ship
The UK has denied claims by Russia's defence ministry that Russian forces fired shots at a Royal Navy destroyer in the Black Sea . The Russian Defence Ministry had earlier announced the alleged military action, while claiming the waters belonged to Russia.
"You don't know this. We're going to become a safe, affordable, fair city".
The next-closest finisher behind Adams is progressive Democrat Maya Wiley, who offered voters a vastly different approach to public safety.
"The debate around policing has been reduced to a false choice: You are either with police, or you are against them", he said on his campaign website.
But with the debut of the ranked voting system and a mountain of absentee ballots still at least a week away from being counted, it could be July before a victor emerges in the Democratic contest.
Wiley, an attorney who served as the outgoing Mayor Bill de Blasio's counsel, found strong support in Brooklyn and Queens. Garcia campaigned up in the Bronx, while Sliwa and Stringer bumped into each other campaigning in Manhattan.
During the campaign, Wiley gained the endorsements of progressive New Yorkers Reps. Alexandria Ocasio-Cortez and Jamaal Bowman.
Kathryn Garcia, who was head of New York's sanitation department, is in third place with almost 20%.
Garcia received 19.5% of the vote Tuesday.
Officer among 3 dead in Colorado shooting
The city tweeted that City Hall was closed for the remainder of the day and Monday night's City Council meeting had been canceled. The department says an adult male was also shot and killed during the shooting, but he has not been identified.
"This is going to be about not only the 1s, but also about the 2s and 3s".
"We know that this is going to be layers".
Now-former Democratic mayoral candidate Andrew Yang ended his campaign Tuesday night.
With only 11.7% of votes, former Democratic presidential candidate Andrew Yang will not be moving on to the next stage in his campaign.
He said in his speech, "Our city was in crisis and we believed we could help".
The big X-factor is the ranked-choice system, which will shake up the numbers in the coming weeks.
NY is a Democratic stronghold and the party's candidate is likely to be its next mayor after November's vote. Andrew Yang rounds out the top four with around 11.5 percent, almost 20 points behind Adams. It remains to be seen what effect Garcia's last-minute alliance with Yang will bring, in which Yang urged his supporters to make Garcia their second pick.
Absentee and affidavit ballots have yet to be counted in the race, according to the elections board. As of Wednesday morning, the city had received almost 87,000 Democratic absentee ballots, out of more than 200,000 that were distributed.
President Kamala Harris to make first trip to border
Harris, who is in charge of diplomatic efforts with Central American leaders, has resisted going to the U.S. -Mexico border. The number of undocumented migrants reaching the US-Mexico border is at the highest level in more than 20 years.