After the tech-heavy Nasdaq fell 1.3 per cent in Wall Street on Tuesday, Asian shares fell overnight.
In Hong Kong, tech shares were also hit by China's fines on Alibaba, Tencent and Bilibili.
European shares were mixed, with the STOXX 600 down 0.1 per cent, retreating from the all-time high hit in the previous session. The FTSE 100 was flat, Germany's DAX was up 0.2 per cent and France's CAC 40 was little changed.
The MSCI world equity index, which tracks shares in 50 countries, was down 0.1 per cent.
"There are wobbles in the global equity markets on the back of higher back-end US Treasury yields and concerns about the Chinese Tech sector," Sebastien Galy, senior macro strategist at Nordea Asset Management, said in a client note, describing the hit to the tech sector as a "mechanical adjustment".
The World Health Organization said that evidence suggested Omicron is causing milder symptoms than previous variants.
But as infections soar, the number of hospitalised Covid-19 patients in the United States has risen nearly 50 per cent in the past week.
Hong Kong's leader Carrie Lam announced new restrictions, including a two-week ban on flights from countries including Britain and the United States.
With inflation having surged in the past six months, investors will be looking at the minutes from the Fed's December meeting, released at 1900 GMT, for signs of policymakers' willingness to tighten monetary policy.
European government bond yields were mostly around one basis point higher on the day, with Germany's 10-year yield having hit a two-month high at -0.115 per cent.
The US dollar was down around 0.1 per cent on the day, having edged down below recent two-week highs. But expectations of Fed hawkishness still kept the yen pinned near a five-year low against the dollar.
The euro was up 0.2 per cent.
In cryptocurrencies, bitcoin was up 1.3 per cent at $46,414.22 - still significantly below its most recent all-time high of $69,000 reached in November.
Oil prices slipped slightly, with Brent crude futures down 0.3 per cent and US West Texas Intermediate crude down 0.3 per cent.