The Labour Department said that the unemployment rate fell from 5.5 per cent in May.
But the rate fell largely because of an exodus of people from the workforce who gave up on their job searches, rather than more Americans finding work.
When Barack Obama became US President in January 2009, the unemployment rate was touching nearly double digit at the height of a global economic crisis.
The share of Americans working or looking for work, which in many ways is a better sign of economic robustness than the oft-cited jobless rate, fell 0.3 percentage point in June.
"Our economy has now added 5.6 million jobs over the past two years, the strongest two-year job growth since 2000. But despite this progress, there is more work to do," said Betsey Stevenson, a member of the Council of Economic Advisers, the White House.
House Ways and Means Committee Chairman Paul Ryan said it is a good thing that more Americans found jobs last month, ut there's still "a lot that can be done" to create more opportunity.
"Our tax code is a huge drag on our economy. And we've got to reform our safety net so more people can move from welfare to work. This report shows wages are not growing the way they should, and too many people are still on the sidelines," Ryan said In a statement.
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