A suspected human trafficker has been detained over the incident.
Both the girl, 22, and the youth, identified as 'Shohag', 27, hail from Khulna.
Khulna-23 BGB's Lance Nayek Rejaul Islam said they rescued the girl from along the Daulatpur border on late Thursday night.
He claimed Shohag had brought the girl to Jessore to "give her a tour of Benapole".
Acting on a tip off, a BGB team foiled Shohag's attempt to forcefully take the girl to India.
Islam said another suspected trafficker had fled the scene during the raid.
The duo has been handed over to Benapole port police.