President-elect Donald J. Trump announced on Sunday that he had picked Christopher Landau, a lawyer and former ambassador to Mexico, to be the deputy secretary of state.

If confirmed by the Senate, Mr. Landau would work with the secretary of state to carry out Mr. Trump’s foreign policy, which has several core components: stemming illegal immigration, imposing tariffs to try to jump-start American manufacturing, keeping the United States out of wars and getting allies to pay for a greater share of military defense arrangements.

Mr. Trump has said he will talk with autocrats to try to reach deals, including Vladimir V. Putin of Russia, Xi Jinping of China and Kim Jong-un of North Korea.

Mr. Trump has picked Senator Marco Rubio of Florida to be secretary of state. Mr. Rubio is awaiting Senate confirmation, as is Mr. Landau.

Mr. Trump made the announcement about Mr. Landau in a social media post on Sunday night, saying Mr. Landau would work with Mr. Rubio “to promote our Nation’s security and prosperity through an America First Foreign Policy.”

Because of his background in dealing with Mexico, Mr. Landau could be tasked with handling migration and tariffs, which would involve coordinating with other U.S. agencies. Mr. Trump has promised to deport large numbers of undocumented immigrants. In the announcement, Mr. Trump said Mr. Landau had helped reduce illegal immigration when he was ambassador.

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