The number viewing three or fewer hikes as appropriate fell to seven from eight.
The Fed anticipates that inflation will be 2.1% in 2019 and 2020, which is a little over its target rate of 2% through 2020, but is viewed as manageable. Notably, it also cut a line from the previous statement that said the Fed was likely to keep rates low "for some time". Other changes included referring to "further gradual increases" instead of "adjustments".
It would be the seventh rate hike since late 2015, when the Fed first started the process of lifting interest rates from nearly zero.
Fed officials expect to raise interest rates at least once more in 2018 and had been split on a possible fourth hike in their last meeting.
The statement retained language in place since late 2015 saying "policy remains accommodative".
Policy makers said in a one-page statement that the labor market "has continued to strengthen" and than economic activity "has been rising at a solid rate".More news: Former England boss Sam Allardyce admits he is 'jealous' of Gareth Southgate
USA companies are hiring at a rapid pace and consumer and business spending remains healthy, the Fed noted, and core inflation is finally expected to hit the central bank's target of 2 per cent this year.
The unanimous vote brings the federal funds rate to a range of 1.75 to 2 per cent, but the quarterly economic forecasts show central bankers now expect the rate to end the year at 2.4 per cent rather than the 2.1 per cent projected in March.
Press conference after every meeting would give the Fed more room to make decisions as the economy warrants, and to be less choreographed. Powell has repeatedly played down the dot plot as a guide to future interest rates, though investors continue to focus on it.
They now see the jobless rate dropping to a 50-year low of 3.5% by.
Most economists had not expected the Fed to give a clear sign that an additional rate increase was likely until later in the year. The US 10-year rate slipped from 3.00% to 2.98% after that breaking news. The rate is estimated to fall 3.5% next year, through to 2020, down from the previous forecast of 3.6%. "I certainly would have expected wages to react more to the very significant reduction in unemployment we've had", he said. Inflation expectations are slightly higher this year compared to March's forecast of 1.9%.
"The Fed's path of gradual rate hikes and slow (balance) sheet reduction seems well established at this point". So-called core inflation - which excludes volatile items like energy and housing - is now 2.2 percent, around the level the Fed is looking for. After years in which the economy expanded at roughly a tepid 2 per cent annually, growth could top 3 per cent this year. They signaled previously that they wouldn't overreact if inflation overshot the target, but they haven't said how much of an overshoot they will tolerate, or for how long.
Inflation, which has been mysteriously low during the long economic recovery, has finally passed 2%, the level the Fed considers healthy.