The bench of Justice Mirza Hussain Haider and Justice Muhammad Khurshid Alam Sarkar issued the order on Thursday after disposing of two writ petitions filed by the candidates.
Sheikh Afil Uddin was elected without contest from Jessore-1 and Monirul Islam was unofficially elected from Jessore-2.
The gazette notification declaring them elected is yet to be published as the charges against them are not yet disposed of.
The Election Commission had earlier postponed a hearing on the allegations following the petitions.
The High Court now sent the matter to the commission for settlement.
If the allegations against the MPs are proved, the commission can scrap their candidacy.
M Quamrul Haque Siddiqui argued for Afil and Monirul. Lawyer Md Bazlur Hasan assisted him.
Hasan told bdnews24.com the court had disposed of both the petitions.
“The court in its observation had directed the commission to resolve the charges in two weeks. The gazette-issue will also have to be resolved within that time,” Hasan said.