Kim spoke about the intention to normalize relations with Washington during a meeting with a South Korean delegation in Pyongyang, the Dong-A Ilbo newspaper reported.
The North Korean leader's final goal is to sign a peace agreement with the United States and establish diplomatic ties, possibly including the opening of a US embassy in Pyongyang, according to the newspaper.
On Thursday, US President Donald Trump accepted the invitation to meet with Kim by the end of May following months of heightened tensions and exchanges of frequent military threats between the two leaders.
Donald Trump said later that he expected "tremendous success" in solving the North Korean issue, saying that he expected Pyongyang to cease its ballistic missile and nuclear tests as well as denulearize.