Afkham praised the Tunisian people and political currents for their awareness and vigilance to actively take part in the voting.
"The Islamic Republic of Iran has supported stability, tranquility, unity, territorial integrity and independence of Tunisia and other regional countries and it will continue to do so," the Iranian foreign ministry spokeswoman said.
The Tunisians went to the ballot-boxes on Sunday to elect a five-year legislative assembly.
Sunday’s general election, which saw the election of the 217-member legislature, was the first under the country’s new constitution and the second since the 2011 uprising that overthrew the regime of the former dictator Zine el Abidine Ben Ali.
More than 5.2 million people were eligible to vote.
There are 190 political parties in Tunisia, most of which emerged following the 2011 uprising that ended Ben Ali's rule.
Leading Tunisian secular party Nidaa Tounes has reportedly won more than 80 seats in an election for the new 217-member parliament, a party source, citing a preliminary ballot count, said on Monday.
Tunisia will also hold presidential election on November 23.
