There were no major changes to Rouhani's government, which is expected to continue his push for greater foreign investment and a technocratic approach to reviving the country's stagnant economy.
He did replace the defence minister, Major General Hossein Dehghan, with his deputy, General Amir Hatami- the first time in more than two decades that the post has been filled by someone from the regular army rather than the elite Revolutionary Guards.
The deputy economy minister, Masoud Karbasian, also replaced his boss, Ali Tayebnia.
Key names in Iran's efforts to rebuild ties with the West, Foreign Minister Mohammad Javad Zarif and Oil Minister Bijan Namdar Zanganeh, retained their positions.
All 18 cabinet members must be approved by parliament over the coming week.
Rouhani's reformist allies have already criticised the president after news leaked that he would again fail to appoint any women to the cabinet- seen as a capitulation to religious leaders.
"The lack of women ministers shows we are treading water," Shahindokht Mowlaverdi, Rouhani's outgoing vice president for women's affairs, told the reformist Etemad daily on Monday.
The 68-year-old president is a moderate cleric, who won a sizeable election victory over hardliner Ebrahim Raisi in May, thanks largely to the support of reformists, who have felt ignored in the selection process for the new government.
Ironically, the sole female minister since Iran's 1979 Islamic revolution came under Mahmoud Ahmadinejad, Rouhani's hardline predecessor, whose health minister Marzieh Dastjerdi served between 2009 and 2013.
With no official parties in parliament, Rouhani must coordinate among a shifting pattern of political factions, none of which holds a definitive majority of the 290 seats.
He is known to have coordinated closely on his appointments with other power-brokers, including supreme leader Ayatollah Ali Khamenei, the Revolutionary Guards and the judiciary.
(This story has not been edited by NDTV staff and is auto-generated from a syndicated feed.)
Get the latest election news, live updates and election schedule for Lok Sabha Elections 2019 on ndtv.com/elections. Like us on Facebook or follow us on Twitter and Instagram for updates from each of the 543 parliamentary seats for the 2019 Indian general elections.