The four-week rolling average for claims filed was 419,500, up 4,000 from the previous revised average, the department said.
In August, the unemployment rate was 9.1 percent, unchanged from July.
In the week ending Sept. 3, Kansas had the largest increase in first-time claims with 1,969. New York had the largest decrease in claims for the week with 2,854 fewer claims filed.
Notable deaths of 2014 [PHOTOS]
GM recalls 221,000 Cadillacs and Impalas