Bangladesh is being run by an interim government headed by former central bank chief, Fakhruddin Ahmed, charged with holding a free and fair election as soon as possible.
An election planned for January 22 was postponed when violence broke out across the country after Khaleda ended her five-year term in October and handed power to the interim authority.
Bangladesh has been under a state of emergency since January 12.
Law and information adviser to the interim government, Mainul Husein, told reporters on Saturday the new CEC would be assisted by two deputies.
On Sunday, officials said the new commissioners would take the oath of office after all three had been appointed.