"The key takeaway from the Fed meeting was the degree of concern shown towards low inflation, which likely led to two dissenting votes," said Junichi Ishikawa, senior FX strategist at IG Securities in Tokyo.
"The 10-year Treasury yield fell sharply on the Fed's stance and lacklustre U.S. CPI, which shows that the markets don't necessarily see the Fed hiking rates three times in 2018."
The 10-year Treasury yield stood little changed at 2.3547 percent after dropping nearly 6 basis points overnight.
Data earlier on Wednesday showed U.S. core consumer prices, which excludes volatile energy and food prices, moderated to 0.1 percent in November from a 0.2 percent increase in October.
The dollar index against a basket of six major currencies dipped slightly to 93.353 after sliding about 0.7 percent on Wednesday to pull away from a one-month top of 94.219 set on Tuesday.
The Fed's less hawkish statements supported MSCI's broadest index of Asia-Pacific shares outside Japan, which rose 0.45 percent.
Shanghai shares and the Chinese yuan were marginally lower after the Peoples' Bank of China hiked the reverse repo rate by 5 basis points to 2.50 percent and raised the one-year medium-term lending facility (MLF) rate by 5 basis points to 3.25 percent.
Australian stocks added 0.1 percent and South Korea's KOSPI climbed 0.8 percent.
Japan's Nikkei bucked the broader trend and lost 0.15 percent, weighed by the weaker dollar.
The dollar was little changed at 112.620 yen after losing 0.9 percent overnight.
The euro added 0.15 percent to $1.1841 following gains of 0.7 percent the previous day.
The European Central Bank is expected to stand pat on monetary policy when it announces its decision later in the global day, but investors will eye President Mario Draghi's views on the euro zone economy for potential incentives.
The pound was effectively flat at $1.3423. Investors will sift through the Bank of England's views on Brexit when the central bank announces its policy decision later on Thursday. The BoE is seen holding policy steady after raising rates last month for the first time since 2007.
Prime Minister Theresa May's government was defeated on Wednesday, when lawmakers forced through changes to its Brexit blueprint that ministers said could endanger Britain's departure from the European Union. Lawmakers voted in favour of an amendment to the EU withdrawal bill giving parliament more say over any final exit deal.
In commodities, U.S. crude futures rose 0.3 percent to $56.78, lifted by the weaker dollar.
Oil prices had slipped for a second straight day on Wednesday, as a slump in U.S. crude stockpiles was offset by a larger-than-forecast rise in gasoline inventories and as U.S. crude output continued to grow to record highs.
Spot gold rose 0.15 percent to $1,257.10 an ounce.
A lower dollar generally makes dollar-priced commodities like oil and gold cheaper for non-U.S. investors, boosting demand. (Editing by Simon Cameron-Moore)
© Reuters News 2017