The Dow Jones industrial average .DJI rose 0.58 percent to end at 19,911.21 points and the S&P 500 .SPX gained 0.65 percent to 2,271.72.
The Nasdaq Composite .IXIC added 0.95 percent to 5,463.83.
U.S. stocks racked up new all-time highs on Tuesday and the Dow Jones industrial average ended fewer than 100 points away from the 20,000 mark as a post-election rally showed no signs of fatigue.
All three major indexes established record highs. The Dow has climbed about 9 percent since the Nov. 8election, with gains fueled by expectations that President-elect Donald Trump will reduce taxes and regulation and stimulate the economy.
Some investors see the 20,000-level on the Dow as a psychologically important signal of broad positive sentiment.
Asian shares rose at Wednesday's open, following Wall Street's record finish ahead of what is expected to be the Federal Reserve's first rate hike in a year with Japan also gaining on improved manufacturing sentiment.
Japanese share benchmark, the Nikkei 225 rose 0.15 percent at the open.
The Bank of Japan's Tankan survey showed that an uptick in the sentiment of Japan's major manufacturers, with the headline index at plus 10 in the fourth-quarter, but expected to fall to plus 8 over the next three months.
"The markets are sitting tight waiting for the Fed decision, but more so ... Yellen's forward outlook and, of course, the accompanying statement," said Stephen Innes, senior trader at OANDA, in a note on Wednesday.
"The market does not view the Feds as the 'Grinch that stole Christmas,' but rather are seeing the rate hike a sign of a healthy US economy," Innes added.
Reference: Reuters, CNBC
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