The technology-heavy Nasdaq Composite fell 1.3 per cent, having closed 0.4 per cent higher in the previous session.
Government bond prices rose significantly both in the eurozone and the US.
Bonds - particularly US Treasuries - are heavily sought in times of extreme uncertainty because of their safe-haven status. When bond prices rally, yields fall.
Harbour Asset Management portfolio manager Shane Solly said investors' risk appetite had taken a dive overnight with oil prices surging by 9.5 per cent to US$104.80 a barrel, despite the release of more oil from America's strategic reserve.
While military action and higher oil prices are bad for economic growth, lower bond yields may support valuations of New Zealand defensive and long-term structural growth stocks, he said.
Westpac senior market strategist Imre Speizer said bond markets had turned "skittish" on the Ukraine conflict.
"It's ambiguous because the Ukraine situation is exacerbating these inflationary pressures and last night was a classic for commodities - both hard and soft commodities.
"With higher commodities prices feeding inflation, central banks are going to struggle to 'look through' that like they would normally do, because you already have these high inflation expectations," he said.
"High commodities prices will ratchet them up even further, which would normally be positive for interest rates.
"However, on the other side of the coin it could be that if the Ukraine war continues, the speed of tightening might have to slow down in the near term and then perhaps speed up later on," he said.
"That seems to be the thinking."
Harbour's Solly said markets were moderating their expectations of how aggressive the US Federal Reserve would be with its rate tightening plans.
"It's a tough job for central banks at the moment. On one side they have to address high inflation but on the other they have the risk of economic growth tailing off quite quickly," he said.