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It was the second such shrinkage in a row after the economy shrank 4.0 percent in the second quarter, with respect to the same period a year ago.
Gross domestic product is down by 1.4 percent from January to September compared with 2017.
The hardest hit sectors were business (down 8.9 percent), fishing (-7.3 percent) and manufacturing (-6.6). But finance was up by 5.1 percent.
Argentina has been gripped by an economic crisis this year that forced President Mauricio Macri to agree a $56 billion bailout loan with the International Monetary Fund (IMF).
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It came as confidence in the peso crumbled, sending the currency into a freefall that saw it lose half its value against the dollar.
The IMF predicts that Argentina's economy will shrink by 2.6 percent this year and another 1.6 percent in 2019.