In a report published Monday by New Jersey Public Radio, reporter Matt Katz said that he asked Christie last week whether there was a problem with the way law enforcement deal with African American men and teens.
"I'm not going to get into this business of generalizing against law enforcement officers. It's not right," Christie said.
"Whatever happened in Ferguson, we have a justice system in this country that will be able to make that judgement and if there are people who need to be held accountable I'm confident they will be," he said.
Christie's remarks surfaced the same day Rev. Al Sharpton criticized him for silence on the killing of Michael Brown and the subsequent clashes between police and protestors in Ferguson.
Sharpton, who has traveled to Ferguson on invitation from Brown's family, specifically called out Christie for partying with John McCain and Jamie Foxx in the Hamptons while clashes in Ferguson raged.
It's not the first time the potential 2016 candidate has expressed disinterest in addressing a national issue. In July, when asked about the hotly-disputed Hobby Lobby ruling at the Supreme Court, Christie initially shrugged.
"Why should I give an opinion as to whether they were right or wrong?" he said.
Two weeks later, however, the governor declared his support for the ruling.