Tech shares fared worse, with the Nasdaq Composite dropping 1.25% on Wednesday. Nasdaq futures dropped 1.13% in Asia.
The Fed said it would keep interest rates near zero until inflation is on track to "moderately exceed" the central bank's 2% inflation target "for some time."
New economic projections released with the policy statement showed most policymakers see interest rates on hold through to at least 2023, with inflation never breaching 2% over that period.
"Of course, sensible people wouldn't really hold anyone to macro forecasts that far out so we'll cross that bridge when we get to it," said Derek Holt, head of capital markets economics at Scotiabank in Toronto.
"Nevertheless, markets are priced for basically one outcome here and that is little inflation and no hikes for years to come."
Still, with such expectations already long considered as a foregone conclusion by many investors, there was some disappointment in the market.
"By and large the Fed delivered the minimum of what had been expected by markets with a key focus on the implications of a move to 'flexible' inflation targeting," said Stephen Miller, investment strategist at GSFM in Sydney.
The 10-year U.S. Treasuries yielded 0.685%, a few basis points above its levels before the Fed.
The U.S. dollar gained against most other currencies.
The euro dropped 0.4% to $1.1767 while the Australian dollar lost 0.35% to $0.7279, having erased earlier gains made after stronger-than-expected local jobs data.
The Chinese yuan also dropped about 0.35% to 6.7686 per dollar, stepping back from a 16-month high hit on Wednesday.
The yen moved little at 105.06 to the dollar ahead of the Bank of Japan's policy announcement later in the day, though no major policy change is expected.
With focus on new Prime Minister Yoshihide Suga, who is seen by some as a strong opponent of a higher yen, some traders said the market may be tempted to test his resolve on the currency.
"One interesting speculative trade in the near-term will be to long the yen ahead of the coming long weekend in Japan," said a senior trading manager at a major Japanese bank.
As the dollar gains, oil prices gave up some of their big gains made on Wednesday on a drawdown in U.S. crude and gasoline inventories, with Hurricane Sally forcing a swath of U.S. offshore production to shut.
Brent crude dropped 0.62% to $41.96 per barrel while U.S. crude fell 0.72% to $39.87 per barrel.
(Additional reporting by John McCrank in New York and Swati Pandey in Sydney; Editing by Sam Holmes) ((firstname.lastname@example.org; +81 3 4563 2768;))
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