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 Israeli Defence Ministry responded to recent reports about the possible delivery of S-300 SAM systems from Russia to Syria. Israeli Defence Minister Avigdor Lieberman said that Israel would destroy those systems
Russia is to start supplying S-300 air defence systems to Syria in the near future. The shipments will be conducted free of charge