The attack occurred just before 10 a.m., prompting officials to evacuate and shut down the airport and add security elsewhere in the MI city about 50 miles (80.46 kilometers) northwest of Detroit.
The FBI said the suspect was in custody and was being questioned.
Fifty-year-old Amor Ftouhi, who carried out the “lone-wolf” attack had entered the USA on June 16, FBI special investigator David Gelios told the media.
The attacker, from Montreal in Canada, was immediately taken into custody.
FBI special investigator David Gelios described it as a “lone wolf” attack.
The suspect was interviewed about his motivations and was cooperative, officials said.
Michigan State Police said Neville was in “satisfactory condition” after surgery.
“I knew him well enough to say hello, not much more than that”, he told AP. He is listed in stable condition.
No passengers were harmed in Wednesday’s assault, Bishop International officials said.
Police posted on Twitter that the airport will remain closed until further notice.
US Attorney General Jeff Sessions said in a statement that an attack on law enforcement would be “investigated and prosecuted to the fullest extent of the law”.
The suspect is said to be from Quebec and has a Canadian passport.
Tim Wiley with the FBI’s Detroit field office said earlier that they believed this to be an isolated incident. “After stabbing the police officer, Ftouhi continued to yell ‘Allah” several times”.
The Villeray-St Michel-Parc Extension borough where Ftouhi lived is a large, ethnically diverse Montreal neighborhood, with nearly half of its 142,000 residents born outside Canada, according to city figures.
A witness says a man led away in handcuffs by police after an officer was critically hurt at a Flint, Michigan, airport had a husky build and a “blank” look on his face.
“There is complete co-operation between the RCMP and all of the authorities and agencies in Canada and their counterparts in the United States”.
The Flint Islamic Center condemned the attack and urged the community to unite “against such senseless” violence.
Ftouhi arrived in the United States on Friday after crossing the border at the Lake Champlain border crossing in upstate New York, Gelios said. There was little to suggest that the attack was part of a wider plot, said Gelios. From New York, he flew to MI where he initiated his attack. “Even with this attack, we must continue to balance our need for increased security with understanding and tolerance”.
The Michigan stabbing comes the day after a suspect with apparent jihadist sympathies set off a bomb in a foiled attack at a Brussels train station. He also saw a man detained by police and a knife on the ground.
President Donald Trump has been briefed on the attack, an administration official told CNN.
“At this time we view him as a lone-wolf attacker”, Mr Gelios said.