The Labor Department report released Thursday also noted that the four-week average, a less volatile measure, rose only 2,750 to 361,250.
Applications are a proxy for layoffs. They jumped three weeks ago to a four-month high, but then plummeted the following week. The sharp fluctuations reflected volatility around the Easter holiday, department officials said. Overall, applications have declined slightly since January.
"It appears that the modest growth of the economy is continuing to support modest improvement in labour market conditions," said Jim Baird, chief investment officer at Plante Moran Financial Advisors.
Job growth slowed sharply in March. Employers added only 88,000 jobs last month, much lower than the average monthly gain of 220,000 from November through February.
The drop in applications over the past two weeks has led many economists to predict that the job market rebounded this month. Joseph LaVorgna, an economist at Deutsche Bank, said last week's level of applications is consistent with his forecast for 190,000 jobs created in April.
And a Federal Reserve report released Wednesday suggested the job market performed better in March than the government's employment report indicated. The Beige Book, which is based on anecdotal information, said the job market was unchanged or slightly better in the period from late February through early April.
Declines in applications signal that companies are laying off fewer workers. But layoffs are only half of the equation. Businesses also need to be confident enough in the economic outlook to add more jobs.
More than 5.1 million people received benefits in the week ended March 30, the latest data available. That was about 125,000 fewer than the previous week.
The unemployment rate fell to 7.6 per cent in March, down from 7.7 per cent in February. Still, the drop occurred because more people out of work stopped looking for jobs. The government doesn't count people as unemployed unless they are actively looking for work.
The economy is expected to grow at a much quicker pace in the January-March quarter than in the final three months of last year. Most economists forecast growth could top an annual rate of 3 per cent in the first quarter, up from just 0.4 per cent in the fourth quarter.
But many analysts now expect growth will slow in the April-June quarter, mostly because across-the-board government spending cuts kicked in March 1. That may have made some businesses nervous about hiring last month.