In a separate report, the Labor Department said initial claims for unemployment benefits rose by just 1,000 to 339,000 last week.
Jobless claims the week before last were the lowest since before the 2001 recession.
Sinking claims for unemployment benefits could mean that some of the slack in the job market is being taken up and that hiring is due for an upswing. Analysts will be watching next week's employment report closely for gains in payrolls, which are expected to rise by 100,000 after months of disappointments.
"This confirms that the drop in claims over the past few weeks is no fluke ? the trend is clearly downwards," Ian Shepherdson, chief U.S. economist at High Frequency Economics.
The closely watched four-week moving average of initial jobless claims, which irons out weekly fluctuations, declined for a fourth straight week, falling to 341,500 from 344,500. It was the lowest figure for average claims since 336,500 were registered in the Jan. 27, 2001, week.
Meanwhile, the number of people continuing to draw benefits after an initial week of aid dropped 46,000 to 3.00 million in the week ended March 13, the latest week for which the data is available. It was the lowest number of people on the benefit rolls since July 21, 2001.