According to data from the US BLS, the unemployment rate of New Hampshire was 2.9% (sa) in May, 2016. Among all New Hampshire counties, these 3 were among those with high unemployment rates (nsa): Coos (3.7%), Rockingham (2.9%), and Hillsborough (2.8%).

On the hand, the following three counties were among those with low unemployment rates (nsa): Sullivan (2.3%), Strafford (2.4%), and Merrimack (2.4%).

The chart and table below shows the unemployment rate (nsa) for each county.

You can see similar information by state for the United States.