The department revised last week's estimate from 352,000 to 355,000.
The four-week rolling average for the week fell by 4,500 to 357,500.
The largest increases in initial claims for the week ending April 13 were in California, with 24,303 additional claims, Texas with 3,050 and Florida with 2,623.
The largest decreases for the week were in New York with a drop of 14,113, Michigan down by 5,998 and New Jersey with a decline of 4,204.
Tesla could face sales ban in Michigan
Twitpic to shut down after failed acquisition