Princess Märtha-Louise and Health Minister Bent Hoie have cancelled plans to attend the ten-day event set to open on Friday, the Norwegian Royal Court and government said.
Hoie made headlines last month when he announced he planned to attend with his husband Dag Terje Solvang, a senior advertising executive, something that was taken as a small act of defiance against the much protested gay propaganda law Russia brought in last year.
The Norwegian team will attend the Games as planned, a delegation official told reporters.
Norway's Foreign Minister Boerge Brende who will travel to Kiev on Thursday to meet with Ukrainian authorities, told a press conference that the current crisis "was the most serious crisis between the West and Russia since the end of the Cold War".
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NATO member Norway shares a border with Russia.