The motorcycle riders were going home from Sonasar
Kotowali Police OC Elias Hossain said they responded to reports of gunfire on Jessore-Magura Highway.
A police team reached the spot around 2am and found a man, perhaps in his late 20s, with gunshot wounds, he said.
He was taken to the state-run hospital in Jessore, where the doctors declared him dead, added the police officer.
Jessore Sadar Hospital's doctor Abdur Rashid said the man had died before being brought in. "He was shot in the head."
Police said they have found a firearm, a bullet and an empty bullet casing at the scene.