Mujahid, 67, and Chowdhury, 66, were hanged at Dhaka Central Jail shortly after President Abdul Hamid rejected their appeals for clemency late on Saturday, the media reported.
Mujahid was sentenced to death in 2013. He was found guilty on five charges, including the killing of Hindus while he commanded Al Badr, an auxiliary force of the Pakistani army, during the so-called Liberation War.
Chowdhury was also handed the death penalty in 2003, charged for the killing of Hindus and Awami League’s, currently the governing party’s, supporters in 1971.
East Pakistan broke away to become independent Bangladesh after a war between India and Pakistan, which killed about three million people.