The decision to dethrone Avril was announced by the contest's judges and organisers at Dhaka's Hotel Westin on Wednesday.
Fashion designer Bibi Rassell, one of the contest's six judges, placed the feathered crown on Jessia, the second runner-up, at the end of the media briefing.
She is set to represent Bangladesh at Miss World 2017 in China in November. The first runner-up Jannatul Sumaiya Heme did not attend the ceremony.
The title first went to 27-year-old Avril, a contestant from Chittagong, who was announced the winner of Miss World Bangladesh 2017 in the competition's final round on Friday.
Organisers in Bangladesh then contacted the Miss World authorities over mail.
The officials behind the world's longest running beauty pageant said the fact that Avril was a divorced woman did not necessarily disqualify her from competing.
But they found offence in Avril's attempts to conceal the truth of her marriage, and so discouraged any further participation.
Organisers in Bangladesh decided to dethrone Avril based on this response.
"Everyone makes mistakes. I hope you'll be forgiving in considering this," said Rassell.
Antar Showbiz and Omicon Entertainment had organised the contest to pick Bangladesh's representative for the Miss World pageant.