Awami League Office secretary Abdus Sobhan Golap and BNP Senior Joint Secretary General Ruhul Kabir Rizvi submitted the names separately to the Cabinet Division on Tuesday afternoon.
The Cabinet Division is carrying out secretarial responsibility of the search committee, formed by President Abdul Hamid.
Both the parties declined to disclose the recommended names.
Golap told reporters that the list was finalised at a joint meeting of the party's advisers and executive body on Monday.
“The time is not right to reveal their identities,” he said, when asked.
Rizvi said that he had no idea about the names recommended.
“The party's high command gave me an enveloped [containing the names] and I submitted it to the Cabinet Division,” he said.
Golap said that they considered the candidates' background, credibility, transparency and belief in the spirit of the Liberation War when selecting them.
On the other hand, Rizvi said that the names were recommended following the 13-point preamble given to President Abdul Hamid regarding the upcoming parliamentary election.
President Hamid formed the search committee last week as Kazi Rakibuddin Ahmad-led incumbent EC's tenure will end in February.
The committee will suggest names of the chief election commissioner and other commissioners.
A source said 16 political parties have submitted names of their preferred candidates to the committee between yesterday and Tuesday noon.