Shinzo Abe made the comment after a surprise visit to North Korea by one of his advisers last week has irritated the United States and South Korea as a possible damper to their efforts to forge a united front against Pyongyang.
"I want to pursue negotiations or dialogue" with North Korea, he told reporters in Fukuoka, southern Japan, according to Japanese media.
"I will definitely try to realise the return home of all the kidnap victims, the search for truth behind the cases and the handover of the abductors during the Abe government," he said.
The adviser, Isao Iijima, returned home via Beijing yesterday after the four-day visit to Pyongyang where he discussed with North Korean officials ways to resolve the long-pending abduction issue, which has derailed bilateral talks to improve ties.
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Iijima told North Korean officials that Tokyo "would not make any move" unless they return all Japanese kidnap victims, hand over the kidnappers and resolve all the abduction cases, according to Japanese media citing sources close to him.
South Korea dubbed the trip "unhelpful" to international efforts to forge a united front against Pyongyang.
Glyn Davies, the US special representative for North Korea policy, initially expressed surprise on Tuesday by saying Iijima's trip was "news" to him.
Davies was visiting Seoul, the first leg of his tour which later took him to Beijing and Tokyo for talks with government officials there.
"We knew that North Korea would eventually shift their strategy to that of seeking engagement in an effort to split us and to exploit any differences in our respective national positions," Davies told reporters on Saturday at the end of his stay in Tokyo.
A member of Abe's cabinet today defended Iijima's trip which he said reflected the premier's resolve to have North Korea come clean on the abductions which took place in the 1970s and 1980s.