Farhad Hossain and Mohibul Hasan Chowdhury Nowfel have been invited to take oath as full ministers in the new cabinet.
In the previous cabinet, Farhad served as the state minister for Public Administration and Nowfel was the deputy minister for Education.
The Cabinet Division on Wednesday invited some 25 MPs as ministers and 11 as state ministers to take oath as new cabinet members led by Prime Minister Sheikh Hasina.
The swearing-in ceremony for the new cabinet will be held on Thursday.