"The Committee continues to see sufficient underlying strength in the broader economy to support ongoing progress toward maximum employment in a context of price stability," the central bank's policy committee said in a statement following a two-day meeting.
The statement largely dismissed recent financial market volatility, dimming growth in Europe and a weak inflation outlook as headwinds that would do little to undercut progress toward the Fed's unemployment and inflation goals.
The Fed pointed to strengthening labour markets, saying that slack in labour markets was "gradually diminishing."
It retained its basic language regarding interest rates from recent statements, saying that rates would remain low for a "considerable time" following the end of the bond purchases this month.
The timing and pace of rate hikes would depend on incoming economic data, the Fed said, new language that apparently earned the support of Philadelphia Fed President Charles Plosser and Dallas Fed President Richard Fisher, who dissented at the previous meeting.
On inflation, the Fed acknowledged that lower energy prices and other forces were holding inflation down, but that overall the economy should progress toward the central bank's 2 per cent target.
"The Committee judges that the likelihood of inflation running persistently below 2 per cent has diminished somewhat since early this year," the statement said.
Minneapolis Fed President Narayana Kocherlakota was the only dissent on the grounds that a downturn in inflation expectations meant the Fed should commit to keeping interest rates lower for longer.
The decision to shutter the bond-buying programme was almost foregone.
The monthly purchases had been steadily cut from $85 billion to $15 billion as part of the Fed's gradual turn away from policies launched to fight the 2007-2009 recession and breathe more life into a tepid recovery.
The Fed will continue reinvesting the proceeds of securities that mature each month, meaning its more than $4 trillion balance sheet will remain intact for the time being.
Image: A child attends a ceremony to reopen the Statue of Liberty and Liberty Island to the public in New York July 4, 2013. Photograph: Eduardo Munoz/Reuters
Series: 'US economy needs to improve for India to turn around'
US, EU sanctions having impact on Russian economy: White House
L&T to build the world's tallest statue in Gujarat
Exclusive! Old friends say 'Modi is our dream merchant'
How Modi is wooing investors in US