Defense Secretary Mattis was speaking two days after President Donald Trump appeared to undermine his top diplomat by saying he was "wasting his time" by talking to Kim Jong- Un's regime.
State Department officials insist Trump was not criticizing Tillerson, but pressuring Kim Jong-Un's regime to agree to discuss its disarmament while a diplomatic option remains on the table.
Mattis, in testimony to the House Armed Services Committee, said the Pentagon stands four square behind the strategy -- and singled out Tillerson for support.
"The Defense Department supports fully Secretary Tillerson's efforts to find a diplomatic solution but remains focused on defense of the United States and our allies."
Tillerson has explained the strategy as one of using United Nations and US sanctions and diplomatic pressure to convince Kim of his isolation and force him to negotiate nuclear disarmament.
US officials insist publicly that they have military options to counter the threat from Pyongyang if this fails, but admit privately that they are risky.
"I told Rex Tillerson, our wonderful Secretary of State, that he is wasting his time trying to negotiate with Little Rocket Man," Trump wrote, using his dismissive nickname for Kim.
"Save your energy Rex, we'll do what has to be done!" he added, apparently suggesting that some kind of non-diplomatic option was back on the table.
"Being nice to Rocket Man hasn't worked in 25 years, why would it work now? Clinton failed, Bush failed, and Obama failed. I won't fail."
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