Wall Street declined after the statement. In afternoon trading in New York, the Dow Jones Industrial Average fell 0.24 per cent, the Standard & Poor's 500 Index dropped 0.46 per cent, while the Nasdaq Composite Index slid 0.41 per cent.
The Fed's view that the US economic recovery is progressing well is a double-edged sword. It is generally good news for corporate profits, and therefore equities, but the resulting decrease in monetary stimulus is less appealing.
Fed officials forecast their benchmark interest rate will be 1 per cent at the end of 2015 and 2.25 per cent a year later, up from previous predictions.
That pushed US Treasuries lower.
"We are closer to the end of a stable-rate environment - you have to adapt to the signal the change is coming," William Larkin, a money manager at Cabot Money Management in Salem, Massachusetts, told Bloomberg News.
In Europe, the Stoxx 600 Index ended the day with a 0.1 per cent decline from the previous close, as did France's CAC 40. The UK's FTSE 100 fell 0.5 per cent.
Germany's DAX bucked the trend, adding 0.4 per cent. Shares of BMW climbed, closing 7 per cent higher, after the German car maker predicted new models will boost sales.