The fourth-quarter increase followed a 4.1 percent growth rate in the July-September quarter, when the economy benefited from a buildup in business stockpiles.
For 2013 as a whole, the economy grew a tepid 1.9 percent, weaker than the 2.8 percent increase in 2012, the Commerce Department said Thursday. Growth was held back last year by higher taxes and federal spending cuts.
With that drag diminished, many economists think growth could top 3 percent in 2014. That would be the best performance since the recession ended in mid-2009.
The expansion in the final three months of 2013 was fueled by a 3.3 percent growth rate in consumer spending, a significant acceleration from 2 percent spending growth in the third quarter. It was the best spending pace since the fourth quarter of 2010. Consumer spending is particularly important because it accounts for about 70 percent of the economy.
Government spending fell at a 4.9 percent rate last quarter. State and local government activity rose at a scant 0.5 percent rate, but federal government spending tumbled at a 12.6 percent rate. The 16-day partial government shutdown in October cut fourth-quarter growth by about 0.3 percentage point, the government said.
The strength in consumer spending reflected gains in purchases of durable goods such as autos and nondurable goods such as clothing. Spending on services also rose strongly.
Businesses invested in more equipment last quarter. There was also strength from a shrinking trade deficit. But housing construction declined.
Paul Ashworth, chief U.S. economist at Capital Economics, said he thinks growth will slow to an annual rate of around 2.5 percent in the first half of this year, in part because businesses will slow their stockpiling. But Ashworth said even this reduced growth rate should help further lower the unemployment rate and ensure that the Federal Reserve will keep reducing its stimulus this year. The unemployment rate is now 6.7 percent.
On Wednesday, the Fed said it will push ahead with a plan to shrink its bond-buying program because of the strengthening U.S. economy. It's doing so even though the prospect of reduced Fed stimulus and higher U.S. interest rates has rattled global markets.
Jennifer Lee, senior economist at BMO Capital Markets, said the strength in the October-December quarter supported her view that the economy would grow at an annual rate of 2.9 percent this year.
The 3.2 percent estimated growth rate for the economy last quarter was the government's first of three projections of gross domestic product for the October-December quarter. The GDP measures the economy's total output of goods and services.
This year, economists think the economy will get a lift from continued gains in hiring. Further steady job growth would give more households money to spend and help lift consumer spending, which accounts for about 70 percent of economic activity.
In addition, U.S. manufacturers are expected to get a lift from rising global demand. And at home, housing construction and auto sales, which showed strength last year, are expected to register further gains in 2014.
Because of the stronger growth prospects, the Federal Reserve said Wednesday that it would continue to reduce the monthly bond purchases it's been making to try to boost the economy.
The Fed bought $85 billion a month in bonds last year to try to keep long-term interest rates low. It announced an initial $10 billion reduction in December. And after its meeting Wednesday, it announced another $10 billion cut. That will put its monthly purchases at $65 billion.
Many analysts think the Fed will keep paring its support at each of its meetings this year until it eliminates new bond purchases entirely in December.
In making the announcement, the Fed cited an improving economy, including more strength in consumer and business spending.