The two day official visit will takes place at the official invitation of Turkmen President Gurbanguly Berdimuhamedow, Parviz Esmayeeli, an official at Iran's presidential office, said.
An official ceremony will be held on Wednesday at the presidential palace, he said.
Esmayeeli further added that after the meeting between the two presidents, the two sides' high ranking delegations will sign various agreements on expansion of mutual cooperation and partake in a joint press conference.
The two presidents are schedule to plant a sapling to mark friendship between the two nations, he said.
The two presidents will also receive Iranian and Turkmen businessmen and traders, Esmayeeli said.
President Rouhani and his companions will return to Tehran Wednesday evening.
Earlier this month, President Berdimuhamedow said Ashgabat and Tehran will witness an enhancement in their relations following the upcoming visit to his country by Iran's President Rouhani.
The Turkmen president made the remarks in a meeting with Iranian Road and Urban Development Minister Abbas Akhoundi in Ashgabat.
"The upcoming visit of President Rouhani to Ashgabat which has been planned for the near future will open a new chapter in the growing all-out bilateral ties and mutual cooperation between Iran and Turkmenistan," President Berdimuhamedow said during the meeting.
The Turkmen president pointed to the status quo of Iran-Turkmenistan relations, and said, "The people of Turkmenistan and the Islamic Republic of Iran share too many historical, cultural and traditional communalities rooted in the depth of their history."
The Iranian road and urban development minister, for his part, reiterated Tehran's commitment to the promotion of friendly ties with Ashgabat, and said, "The Islamic Republic of Iran attaches special importance to the enhancement of ties with Turkmenistan and it supports Turkmenistan's all-out development …".
