The four-week rolling average decreased by 3,500 from the previous week's 368,500, Labor said.
The biggest increases in initial jobless claims for the week ended March 17 were in Florida (up 1,876), Hawaii (up 469), Alabama (up 475), Mississippi (up 405) and New Mexico (up 292).
The biggest decreases were recorded in New York (down 3,103), Texas (down 1,787), Pennsylvania (down 1,606) and California (down 1,603).
The U.S. unemployment rate was 8.3 percent in February, unchanged from January.
Notable deaths of 2014 [PHOTOS]