According to data from the US BLS, the unemployment rate of New Hampshire was 2.7% (sa) in June, 2017. Among all New Hampshire counties, these 3 were among those with high unemployment rates (nsa): Coos (3.1%), Hillsborough (2.9%), and Rockingham (2.9%).

On the hand, the following three counties were among those with low unemployment rates (nsa): Sullivan (2.1%), Grafton (2.1%), and Merrimack (2.3%).

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

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