The visit will be a major step towards implementatation of the decision made by the presidents of the two countries to expand bilateral ties.
According to IRNA, the delegation is headed by Russia's Minister of Energy Alexander Novak.
The 13th Iran-Russia joint economic commission is to be held in the Iranian capital during the visit of the Russian delegation.
Iran's Minister of Communications and Information Technology Mahmoud Vaezi and the visiting Russian minister are to co-chair the Tehran economic commission meeting which is considered as an unprecedented measure towards fostering the two countries' relations.
The Russian delegation is scheduled to ink several agreements and hold bilateral meetings with the Iranian officials.
Coincident with the joint economic commission in Tehran, Iran-Russia energy commission will be held for the first time to review the ways to widen bilateral cooperation in that area.
Iran's ambassador to Moscow says Tehran-Moscow cooperation is witnessing a bright future.
According to reports, Iran and Russia have planned for a yearly four-billion-dollar of economic relations by the end of 2017.
According to the latest statistics, the worth of the two countries' economic exchanges grew by 80 percent in first half of 2016 compared with the same period last year.
EghtesadOnline: Tehran will host Russia's 590-member economic delegation that is to fly to Iran on Sunday.