During his campaign for president, Donald J. Trump hinted that he would get rid of the Export-Import Bank, saying that the agency that helps finance American exports was “excess baggage.”

But in a reversal of his campaign promise, on Friday the president nominated two members to the bank’s board: Former Representatives Scott Garrett of New Jersey and Spencer T. Bachus of Alabama.

Mr. Garrett, an arch conservative who was a founding member of the Tea Party-aligned Freedom Caucus in the House, was nominated to serve as president of the board, according to a White House statement on Friday night. Mr. Bachus, a former chairman of the House Financial Services Committee, was nominated as the fifth member of the board.

Mr. Bachus was known in the House as a pragmatic moderate. Both men must be confirmed by Senate.

Mr. Trump said in an interview this week he no longer wanted to eliminate the Export-Import Bank, adding that he planned to fill two openings on the board, which has five members.