The state Workforce Solutions Department said Tuesday the unemployment rate in December was down from 6.6 percent a year ago.
The state agency says jobs have grown by 0.4 percent, a gain of 3,000 over the year.
The largest employment gains were reported in the financial activities industry, which added 3,100 jobs since December 2012.
Employment gains in retail trade rose to 1,900 jobs, its highest over-the-year increase since 2008.
The leisure and hospitality industry added 1,500 jobs and the mining industry added 1,200 jobs, its largest gain since November 2012.
Professional and business services reported a gain of 500 jobs.
Manufacturing declined by 1,300 jobs and government employment had a net loss of 2,800 jobs since last year.