The commander of a joint operations center that oversees the Mosul campaign, Lt Gen Abdul-Amir Yarellah, said that soldiers from the 9th Division took over the hospital building in the al-Salam neighborhood.
Yarellah did not provide more details but said the troops have "continued clearing" the neighborhood of IS militants.
Iraqi forces, backed the US-led international coalition, launched a campaign in October to retake Mosul, the country's second largest city and IS's last major urban bastion in Iraq.
In an audio recording published online, the newly-appointed spokesman of IS, Abu al-Hassan al-Muhajir, urged the fighters in Mosul and the Syrian city of Raqqa to keep up the fight and not to retreat. In his nearly 30-minute speech, al-Muhajir called on Muslims and "Caliphate soldiers" to strike inside Turkey and against its diplomatic missions as well as launching attacks in other parts of the world.
It was not clear when the recording was produced; it was distributed by the militant group's al-Furqan media arm late yesterday night. Al-Muhajir replaced Abu Mohammed al-Adnani, who was killed in an airstrike in August.