South Korea and Indonesia pulled out of the biennial championship on Saturday, joining Australia, Taiwan and Thailand.
The Finals were originally scheduled for May but were first postponed to August due to the COVID-19 crisis before being moved to Oct. 3-11 when the Danish government extended its ban on large gatherings.
"The BWF, in full consultation and agreement with local host Badminton Denmark, has made the tough decision to postpone the Thomas and Uber Cup Finals 2020," the BWF said in a statement.
"The decision comes following the withdrawal of a number of participating teams from the Thomas and Uber Cup Finals and the European leg of the adjusted BWF World Tour.
"These are exceptional circumstances we find ourselves in and while a return to international badminton remains a priority for the BWF, the health and safety of the entire badminton community is of utmost importance."
The sport's governing body said it was looking at possible alternative dates to reschedule the team championships but not before 2021.
The Denmark Open in Odense, part of the BWF World Tour, would go ahead as planned from Oct. 13-18 while the Oct. 20-25 Denmark Masters, also scheduled for Odense, had been cancelled, the BWF added. (Reporting by Shrivathsa Sridhar in Bengaluru; Editing by Peter Rutherford )