The whale carcass washed up on a beach near the port city of Chittagong, 217 kilometers (135 miles) southeast of the capital, Dhaka, Marine Fisheries Department official Mohammad Faruk said.
"Local fishermen initially thought it was wreckage from a grounded ship," Faruk said.
It was not clear what species the whale belonged to or how it died.
A team of experts was expected to visit the site Tuesday, Faruk added.
The tail and fins of the whale, meanwhile, appeared to be mutilated, private television channel ATN Bangla said.
Migrating whales are sometimes sighted in the Bay of Bengal off Bangladesh's southern coast, but rarely come near shore, experts and witnesses say.
Representatives of the Ministry for Foreign Affairs of the Russian Federation commented on the state of affairs in the Sea of Azov
Russian President Vladimir Putin said at the meeting of the Valdai Discussion Club that Russia will never initiate military actions, including with the use of nuclear weapons