Prime Minister Mohammed al-Bashir had said last week that the ministry would be restructured using former rebel factions and officers who defected from Bashar al-Assad's army.
Sharaa will face the daunting task of trying to avoid clashes between the myriad groups.
The country's new rulers appointed Murhaf Abu Qasra, a leading figure in the insurgency that toppled Bashar al-Assad, as defense minister in the interim government.
Syria's historic ethnic and religious minorities include Muslim Kurds and Shi'ites - who feared during the civil war that any future Sunni Islamist rule would imperil their way of life - as well as Syriac, Greek and Armenian Orthodox Christians, and the Druze community.
Sharaa has told Western officials visiting him that the Islamist Hayat Tahrir al-Sham (HTS) group he heads, a former al Qaeda affiliate, will neither seek revenge against the former regime nor repress any religious minority.
Syrian rebels seized control of Damascus on December 8, forcing Assad to flee after more than 13 years of civil war and ending his family’s decades-long rule.