(Adds market reaction, analyst comment)
* Fed sees at least two more rate hikes this year
* Projects three more increases in 2019
* Powell to hold press conference at 2:30 p.m. ET (1830 GMT)
WASHINGTON, March 21 (Reuters) - The Federal Reserve raised interest rates on Wednesday and forecast at least two more hikes for 2018, signaling growing confidence that U.S. tax cuts and government spending will boost the economy and inflation and lead to more aggressive future tightening.
In its first policy meeting under new Fed chief Jerome Powell, the U.S. central bank indicated that inflation should finally move higher after years below its 2 percent target and that the economy had recently gained momentum.
The Fed also raised the estimated longer-term "neutral" rate, the level at which monetary policy neither boosts nor slows the economy, a touch, in a sign the current gradual rate hike cycle could go on longer than previously thought.
"The economic outlook has strengthened in recent months," the Fed said in a statement at the end of a two-day meeting in which it lifted its benchmark overnight lending rate by a quarter of a percentage point to a range of 1.50 percent to 1.75 percent.
Inflation "is expected to move up in coming months and stabilize" around the Fed's target, it said.
Powell, who took over from former Fed chief Janet Yellen in early February, is due to hold a press conference at 2:30 p.m. EDT (1830 GMT).
The rate hike was widely expected. All 104 economists polled by Reuters from March 5-13 said the Fed would increase borrowing costs this week.
Stocks extended gains after the Fed decision while the dollar fell. U.S. Treasury yields initially rose before falling back to levels before the release of the statement.
"The Fed is still expecting three rate hikes this year," said Lindsey Bell, investment strategist at CFRA Research.
CONFIDENCE IN THE ECONOMY
The move was the latest step away from years of stimulating the world's largest economy in the wake of the 2007-2009 financial crisis and recession. The Fed tightened policy three times last year.
The combination of $1.8 trillion in expected fiscal stimulus and recent hints of price and wage pressures had prompted some Fed officials to speculate more Americans could be drawn into an already tight labor market and that inflation could rise to the target, or even well above if the economy got too hot.
Policymakers were largely split on Wednesday as to whether a total of three or four rate hikes would be needed this year. They predicted rates would rise three times next year and two times in 2020, a further indication of confidence in the economy.
They projected U.S. economic growth of 2.7 percent in 2018, an increase from the 2.5 percent forecast in December, and also marked up growth for next year. The Fed's preferred measure of inflation was expected to end 2018 at 1.9 percent, unchanged from the previous forecast, but it is seen rising a bit above the Fed's target next year.
The U.S. unemployment rate by the end of 2018 is expected to edge down to 3.8 percent, indicating the Fed sees more room for the labor market to run. Fed officials predicted the rate also would settle even lower at 4.5 percent in the longer run.
U.S. joblessness stood at 4.1 percent last month.
While recent home sales and retail spending data have been on the weak side, the overall economic picture has brightened after growth accelerated to 2.3 percent last year.
Before the meeting, analysts were split over whether the Fed, which is wary of an early misstep under its new leadership, would raise policy tightening expectations until more price pressures are clearly evident. There are also looming outside risks to the economy such as a possible global trade war.
(Reporting by Jonathan Spicer Editing by Paul Simao)