Four trains are currently stranded at both ends of the Bangabandhu Bridge
Police said the accident has been reported on the Dhaka-Rangpur Highway at Gobindaganj Upazila around 2:30am on Friday.
The trucks collided into each other leaving two dead on the spot while another died while being taken to hospital, said Gobindaganj highway police OC Md Abul Bashar.
Two others are being treated at the state-run hospital in Gobindaganj town, he added.