The number of quits increased most significantly in the professional and business services sector, as well as construction.
Meanwhile, available jobs also rose, climbing to 11.5 million, the highest level since the data series began in December 2000.
That means there were 1.9 job openings for every unemployed worker in March.
Retail and manufacturing job postings rose, while government jobs and positions in transportation, warehousing and utilities decreased.
This is a developing story. It will be updated