Mayor Eric Adams of New York moved to bolster his administration on Friday by naming replacements for the four deputy mayors who announced last month that they were stepping down to protest the mayor’s cooperative stance toward President Trump’s immigration enforcement.

Two of the appointees, Kaz Daughtry and Adolfo Carrión Jr., currently work in the mayor’s administration. Mr. Carrión, the commissioner of the Department of Housing Preservation and Development, will be the deputy mayor for housing, economic development and work force.

Mr. Daughtry, a deputy police commissioner, will be the deputy mayor for public safety. His selection, which The New York Times reported last month but was officially announced on Friday, was met with some curiosity because of his combative outbursts on social media and his close relationship with the mayor.

The New York City Department of Investigation reviewed some of the questionable social media interactions of Mr. Daughtry and other top police officials, and released a report in January concluding that none of the exchanges “served the public.”

Kayla Mamelak Altus, a spokeswoman for the mayor, said Mr. Adams was pleased with Mr. Daughtry’s work with technology and using drones as a part of emergency response and had no concerns about his temperament. Mr. Daughtry begins his job at the close of business Friday.

“As the mayor says, it’s not about the tweets,” Ms. Mamelak Altus said. “It’s about the streets.”

In a statement, Mr. Daughtry mentioned his 19-year history in the Police Department and his unwavering “commitment to safeguarding our streets.”