The North has undertaken a steady stream of missile tests, including launching a missile over Japan this week, an incident that drew strong condemnations from the United States and its allies, including South Korea.
The statement from Jae-in's office said, "Sharing the view that South Korea needs to bolster its defense capabilities to counter North Korea's provocations and threats, the two leaders agreed in principle to revise the missile guidelines to a level that the South Korean side desires".
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Harris encouraged greater trilateral cooperation among the United States, Japan and South Korea, which he called a partnership with a goal to meet the North Korean threat, the captain added.
Trump, who has warned that the USA military is "locked and loaded" in case of further North Korean provocation, reacted angrily to the latest missile test, declaring on Twitter that "talking is not the answer" to resolving the crisis.
"President Trump provided his conceptual approval of planned purchases by South Korea of billions of dollars in American military equipment".
North Korea sharply raised regional tension this week with the launch of its Hwasong-12 intermediate-range ballistic missile that flew over Japan and landed in the Pacific.
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In 2012, the revision allowed Seoul to increase the maximum allowable missile range to 800km from the previous limit of 300km.
According to the South Korean media, in June this year, the South Korean president had discussed doubling the weight limit to 1 ton of warheads during his meeting with Trump.
Impoverished North Korea and the rich, democratic South are technically still at war because their 1950-53 conflict ended in a truce, not a peace treaty.
In July however, Pyongyang snubbed Jae-in's invitation for talks.
South Korea and the United States are discussing the dispatch of F-22 and F-35B fighter jets on a rotational basis as part of efforts to boost extended deterrence against the North's threats, they said.
The White House, however, made no mention of this part of the conversation.
However, Trump said after the latest missile test that negotiations with Pyongyang were "not the answer".