The Mandel Jewish Community Center in Beachwood was among those receiving an email bomb threat on March 12.
The JCC in Brighton, a suburb of Rochester, received a bomb threat around 11:40 Sunday morning. No one was injured during that incident.
New York Governor Cuomo called the threat against the Brighton Jewish Community Center "a despicable and cowardly act", adding that it would not be tolerated.
New York's law enforcement agencies have received additional training to combat hate crimes in light of recent threats made against Jewish communities across the country.
The Mandel JCC instituted its emergency protocols Sunday after it received the threat.
The latest threat arrived when the center was hosting a "warming center" for people whose homes had lost power, Executive Director Arnie Sohinki said.More news: Alshon Jeffery headlines new-look receiver group for Eagles, Carson Wentz
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According to CNN, law enforcement is unsure where the calls are originating from, one senior official arguing that one person is behind most of the calls, sparking copycats, and others believe they are coming from overseas.
The rally took place outside Asper Jewish Community Campus, where a threat came in against the community last week.
Last Tuesday, the Miles Nadal Jewish Community Centre in Toronto was the target of a bomb threat.
"These incidents reinforce our decision, earlier this week, to enact new, more rigorous security measures to ensure we are providing the safest possible environment for us all".
On Sunday, as members of the Jewish community were preparing for this week's Purim celebrations, bomb threats were made at seven Jewish community centers in the USA and Canada in what civil rights advocates are calling the "sixth wave" of threats made against the Jewish community this year.
Marvin McMickle, the president of Colgate Divinity School, pointed to the comments this week from Rep. Steve King, R-Iowa, who Tweeted that "we can not defend our civilization with someone else's babies".