Gallant urged residents, particularly those living in the areas identified by police, to keep informed about the situation as it developed and to follow the instructions of law enforcement officials.
The two officers killed were Const. Robb Costello, 45, a 20-year police veteran and a father of four, and Const. Sara Mae Burns, 43, a two-year veteran of the Fredericton police force and a married mother of three.
He is the only person being treated for injuries related to the shooting.
Canadian media quoted a cousin of Robichaud's as saying he was a local musician who had three children.
"The guy was so likable, like I don't think he had anybody that hated him".
Jackie McLean, the common-law partner of Const. Costello, told the Canadian Press she was devastated to learn Costello was one of those killed.
He said his apartment complex has four buildings in a square, and it sounded like the shots were coming from the middle of the complex.
Matthew Vincent Raymond of Fredericton is accused of killing 32-year-old Bobbie Lee Wright, her boyfriend Donnie Robichaud, Const. Robb Costello and Const. Sara Burns, police said Saturday.
Officers went to a residential complex at about 7 a.m. but there's no word yet on what led them to the area.
"There were many officers in and around the building at that time, so when the call came in shots fired, officers jumped in a cruiser and attended the scene".
A family member has identified one of the civilian victims of Friday's shooting in Fredericton as a 42-year-old father of three, as police revealed the person in custody is still being treated in hospital.
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A cluster of shots had been heard, the witnesses said. "They (police) have all major intersections cordoned off with emergency vehicles". "The police officer told me to stay away from the windows and to lock the doors".
A lockdown was imposed on Brookside Drive between Main and Ring roads, but was lifted Friday morning after police determined there was no further threat to public safety.
Police are asking anyone who captured photos or video of the incident to come forward. AT to give the public an update on the case.
"We know people have a lot of questions, and we ask for your patience as we try to answer them, and maintain the integrity of the ongoing investigation", the force tweeted Friday night. "Thank you for ALL that you do!".
A vigil for the shooting victims was held Friday evening, where more than 100 mourners packed into St. John the Evangelist Anglican Church.
By Friday afternoon, a memorial of flowers and messages was growing in front of the Fredericton police station.
Ross White, chief superintendent of the New Brunswick RCMP, said the major crimes division assisted local police in the investigation Friday. "We were very close to one another, we spent all of our free time together".
Cartwright said his girlfriend and four-year-old son had been at home during the shooting, and he rushed to the scene in a panic once he realized his family could be in danger.
"And if we could all send them our best love and our best support for our fallen officers who are there protecting us and the people who died in a awful tragedy".
The Prime Minister, Justin Trudeau, said in a statement: "Canadians across the country were shocked to wake up to news of the shooting in Fredericton that left four people dead, including two police officers". She also expressed gratitude for her force's swift response.