Unification Minister Cho Myoung-Gyon made the remarks as reports said annual South Korea-US military exercises might be postponed to avoid coinciding with the winter games and paralympics in South Korea's Pyeongchang.
"If the North provokes again at a time when the Olympic Games are imminent, it may deal a fatal blow to the Olympics," he said at a forum in Seoul.
"Therefore it is important to stage the Pyeongchang Winter Olympics in a stable atmosphere", he added.
Both will be held in the mountainous resort town of Pyeongchang, 80 kilometres south of the tense border with North Korea.
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The annual military exercises, codenamed Key Resolve/Foal Eagle, usually start late February or early March and run until the end of April.
Tensions tend to rise during the drills, which are condemned by the North as rehearsals for invasion.
North Korea has invariably reacted angrily to the exercises, conducting its own military drills including missile launches.
But the presidential Blue House said it has not discussed this or made any decisions on the matter.
North Korea yesterday launched a new intercontinental ballistic missile which it says will bring the entire US territory within range.