The June numbers were revised downward from 7.6% initially reported.
In July 2012, the jobless rate was 7%, the data showed.
An estimated 739,000 people were unemployed and looking for work in July, down from 746,000 a month earlier. Male jobless rate was 8.2%, while female unemployment reached 6.5%.
The figures refer to people aged between 15 and 74 and are based on the definition recommended by the International Labor Organization.
The unemployment rate for people aged 25-74 was 6.1% in July, the data showed. The latter category made up for 75.3% of the total jobless people in July 2013.