The deceased have been identified as Bachchu Mia of Katiyadi in Kishoreganj district and Mosharraf Hussain of Shakhipur in Tangail district.
The injured Bangladeshis are currently undergoing treatment in local hospitals, the release said.
Officials from the Bangladesh Embassy in Riyadh have already met the injured in hospitals and are in close touch with Saudi authorities regarding the process of bringing back the bodies of the deceased.