According to an official sources, many of the embassies are located in the Middle East and the reason is in response to many unspecified security threats.
A state department spokeswoman said the order applied to any embassy or consulate normally open on Sunday.
In the Muslim world, Sunday is a work day. In other parts of the world US diplomatic offices are shut on Sunday.
Last year on 11 September, the US consulate in Benghazi, Libya, was attacked, leaving four Americans dead.
Other embassies are routinely targets of protesters.
“We have instructed all US embassies and consulates that would have normally been open on Sunday to suspend operations, specifically on August 4th,” a senior state department official told the BBC.
“It is possible we may have additional days of closing as well.”
The official said the state department had “been apprised of information” leading it to these “precautionary steps… out of an abundance of caution”.
CBS News reported that among those affected by closure would be the embassies or consulates in Bahrain, Israel, Jordan, Kuwait, Libya, Oman, Qatar, Saudi Arabia, Yemen, Afghanistan and Bangladesh.
Last year, the attack on the facility in Benghazi led to the deaths of US Ambassador Christopher Stevens, as well as three other US consulate staff.