MSCI’s broadest index of Asia-Pacific shares outside Japan gained 0.7 percent, led by a 1.2 percent rise in South Korean shares while Japan’s Nikkei share average rose 1.4 percent.
U.S. stocks rose more than 1 percent on Tuesday, with the S&P 500 coming less than two percent below its record peak set last month.
The Fed is widely expected to announce on Wednesday it will end its two-year-old bond-buying stimulus, known as quantitative easing three, as the U.S. economy continues to recover.
Still Fed officials have also stressed they are in no hurry to take policy tightening a step further by raising rates from near zero levels due to subdued inflation and the poor quality of a recovery in labor markets.
“I think the markets are greatly underpinned by expectations that the Fed will maintain a dovish stance, which makes me a bit worried about risk of disappointment,” said Hirokazu Kabeya, senior strategist at Daiwa Securities.
Upbeat U.S. earnings so far have also eased worries that corporate profits might be squeezed by sluggish growth in the world, especially outside the United States.
With 245 companies in the S&P 500 having reported earnings so far for the third quarter, 73.5 percent have beat analyst expectations, according to Thomson Reuters. Over the past four quarters, 67 percent of companies have beat estimates.
Still, Facebook Inc shocked investors after the market close on Tuesday, warning of a dramatic increase in spending in 2015 and projected a slowdown in revenue growth this quarter, falling 8.2 percent in after hours trading.
U.S. economic data published on Tuesday was mixed. But a rise in consumer confidence to a seven-year high gave stock bulls enough reason to maintain their optimism on the economic recovery.
Separate data, however, showed new orders for capital goods by U.S. businesses fell the most in eight months in September.
The data dented the U.S. dollar against a broad range of currencies.
The euro rose to a one-week high of $1.2765 on Tuesday and last stood at $1.2738 in Asian trade. The Canadian dollar climbed to its highest level in more than two weeks against the U.S. dollar of C$1.1165.
The dollar held firmer against the yen, however, as the Japanese currency was held back by speculation that the Bank of Japan will revise down its economic growth forecast in its economic report on Friday.
The dollar traded at 108.18 yen, not far from a two-week high of 108.36 yen hit last week. It had a muted reaction to data showing Japanese industrial output rose 2.7 percent in September, slightly above market expectations.
Casting a shadow on risk sentiment, the U.S. Department of Homeland Security said it was increasing security at government buildings in Washington and other cities because of continuing terror attack threats.
Separately, a White House official disclosed on Tuesday that suspicious cyber activity has been detected on the computer network used by the White House but added that measures have been taken to address it.-REUTERS