Iranian state TV's website said Shane Bauer and Josh Fattal each received three years for illegally entering Iran and five years for spying.
The two men not accept the charges, saying they unknowingly entered into the country while hiking in July 2009.
Last year bail of their fellow hiker Sarah Shourd was freed on $500,000 (£314,386).
She was freed on humanitarian and medical grounds in September 2010 and flew back to the US. She did not return to face trial, saying in May she had suffered from post-traumatic stress and would find a return "too traumatic".
The trial started in February 2011 and Mr Bauer and Mr Fattal, both 28, pleaded not guilty. Ms Shourd - Mr Bauer's fiancee - pleaded not guilty in absentia. The trial closed on 31 July, on the second anniversary of their arrest.
"In connection with illegal entry into Iranian territory, each was given three years in jail and in connection with the charge of co-operating with American intelligence service, each was given five years in jail," the website reported, quoting an informed judiciary source.
The report said "the case of Sarah Shourd, who has been freed on bail, is still open," AFP news agency says.
The men are said to have 20 days in which to appeal against the sentence. Their lawyer, Masoud Shafii, has told news media that he has not been informed of any verdict.
The trio - all graduates of the University of California, Berkeley - said they had been hiking in Iraqi Kurdistan and did not intentionally stray over the border with Iran, where they were arrested by soldiers.
Ms Shourd said they had visited the tourist village of Ahmed Awa, and hiked along a trail local peoples had recommended.
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