The meeting was held on the sidelines of the 17th Summit of the Non-Aligned Movement (NAM).
President Rouhani said that Tehran and Algiers should further develop their friendly relations because of their close positions on regional and international developments, reports IRNA.
Noting that Iran and Algeria stayed together in hard times, he said that in the post-sanctions era, the situation is ripe for both countries to accelerate their cooperation.
President Rouhani further hoped for new trend of collaborations in economic fields between the two capitals.
Stressing the need for a stable oil market with fair prices, the Iranian President said all should work to make the coming meeting of oil producing countries in Algeria a success.
OPEC members are to meet in the Algerian capital during an energy conference slated for Sept. 26-28.
Meanwhile, the Algerian official conveyed the message of President Abdelaziz Bouteflika for his Iranian counterpart and voiced his country’s determination to further promote relations with Iran.
President Rouhani arrived in Margarita Island, in northern Venezuela, on September 16, to attend the NAM Summit.
He handed over NAM presidency to the Venezuelan President Nicolas Maduro for a period of four years on Saturday when the 17th Summit of the organization opened here for two days.
Iran held the rotating presidency of NAM 2012-2016.
EghtesadOnline: President Hassan Rouhani described ties with Algeria as warm and brotherly during a meeting with the Algerian Foreign Minister Ramtane Lamamra on Saturday evening.