"Effective July 10, 2016, the Department of State authorised the voluntary departure of family members of US government personnel posted to the US Embassy in Dhaka," an official statement said today.
At the same time, it said the US Embassy in Dhaka remains open and will provide all routine consular services.
"The US government assesses that the terrorist threat is real and credible," the State Department said.
In a travel warning, the State Department warned US citizens to consider carefully whether they need to travel to Bangladesh, in light of the latest attacks.
Other attacks continue to be carried out against religious minorities, bloggers, publishers, and security forces throughout the country.
Daesh (also referred to as ISIL, or ISIS) and Al Qaeda in the Indian Subcontinent (AQIS) have publicly claimed credit for various attacks since September 2015, the Department said.