Hudson County Sheriff's Department, Jersey City Police, Newark FBI and Newark ATF were reacting to the scene, according to the USA TODAY Network.
It began earlier with the shooting of a police officer at the cemetery involving two assailants - a man and woman - who authorities said fled after what apparently had been a drug deal gone wrong.
ABC News reports the convenience store is on Martin Luther King Drive.
SWAT teams are responding to the shooting, and 12 local schools have been locked down.
Both suspects were found dead inside the store, police said.
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A nearby Catholic school is on lockdown, but the archdiocese says all staff and students at the Sacred Heart School were safe.
Multiple law enforcement agencies responded Tuesday to a report of a gunman or gunmen in Jersey City, N.J.
An unnamed federal law enforcement source told Fox News that two juvenile suspects - one male and one female - were shot and killed in a stand-off with police, along with three other people who were inside the bodega. Schools, including an elementary school in close proximity to the scene of the standoff, were put on lockdown but secure with all children accounted for.
Jersey City Mayor Steve Fulop told reporters Tuesday afternoon that one officer was fatally shot, while another was injured after being shot in the shoulder.
"I have every confidence in our law enforcement professionals to ensure the safety of the community and resolve this situation".
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Many gunshots could be heard from the area. It's like firecrackers going off.
New Jersey Gov. Phil Murphy has been briefed on the shootout, he said in a statement. "They were shooting like insane about an hour ago", he said. The cops were clearing everyone off the streets'.
The New Jersey State Policemen's Benevolent Association is asking for "lots of prayers" for Jersey City officers.
Press Secretary Hogan Gidley said President Donald Trump was briefed on the shooting and was monitoring the situation, CNN reported.
A police officer has been shot, according to New Jersey State Police.
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