Mr Moon says he will reverse Mr Lee's policy of linking aid to progress on denuclearisation.
Mr Kerry stressed that Seoul, Beijing, Tokyo and Washington had "committed to take action together" and to "making that goal of denuclearisation a reality".
Kerry's visit to Beijing has produced some measure of agreement with the secretary of state claiming that China is "very serious" about the denuclearisation on the peninsula.
China expressed "firm opposition" to its ally's test, urging the North to honour its commitment to denuclearisation and "not take any actions which might worsen the situation".
He later issued a statement saying the US and China were able "to underscore our joint commitment to the denuclearisation of the Korean peninsula in a peaceful manner".
Denuclearisation is always the stated end goal of every discussion.
"China is firmly committed to upholding peace and stability and advancing the denuclearisation process on the Korean peninsula, " he said, adding that the issue should be resolved "peacefully through dialogue".
It also stated that there would be "no dialogue to discuss denuclearisation of the Korean peninsula", in an apparent reference to long-stalled six-nation talks aimed at ending Pyongyang's nuclear ambitions.
BBC: North Korea in nuclear warning after UN rocket resolution
In Washington the three officials, America's top diplomat on Asia Kurt Campbell, South Korea's nuclear envoy Lim Sung-nam and Japan's representative to the six-party talks Shinsuke Sugiyama, said they were committed to the denuclearisation deal.
Kim Ghattas : He speaks Polish, he's been ambassador to South Korea, helped negotiate an end to the Balkans conflict and shuttled from Washington to Pyong Yang for three years, working on a denuclearisation deal with North Korea.
But Christopher Nelson, an Asia expert and vice-president of Samuels International Associates, points out that while the new South Korean leader has responded with tough words to Pyongyang's rhetoric, she has also indicated that if the North Koreans are willing to resume North-South talks, denuclearisation would not have to be the state end goal.
应用推荐