"Merely because something happens to us in the cyber arena, doesn't mean that our response has to be focused in the cyber arena," Rogers said Thursday at the International Conference on Cyber Security in New York.
The spying agency's head added he was "very happy" with the US use of sanctions as a response to the North Korea Sony hack.
"I remain very confident: this was North Korea," Rogers stated, referring to the November hack. According to the media outlet, the NSA head branded the attack a "game changer," stating that the whole world was watching the US response.
"If we don't name names here, it will only encourage others to decide, 'Well this must not be a line for the United States,'" he said.
The FBI has identified North Korea as the perpetrator of the November cyberattack on Sony, in which confidential data and emails were leaked. The hackers demanded Sony cancel the premier of "The Interview" film, a comedy featuring an assassination of North Korean leader Kim Jong Un.