Senator Lindsey Graham announced the news on a call with Republican Senators, Punchbowl News reported.
Mr Bowers will defend the former president in his second impeachment trial before the US Senate. He has previously served as counsel for two governors of South Carolina — Nikki Haley and Mark Sanford.
Many of Mr Trump’s previous legal representatives have distanced themselves from him following his role in inciting the mob who stormed the US Capitol on 6 January.
The legal team from Mr Trump’s first impeachment either declined to represent him again or said they had no interest in doing so.
Mr Bowers has a range of experience relevant to Mr Trump’s legal issues including serving as counsellor to Governor Sanford before the South Carolina Impeachment Committee in 2009.
The governor was threatened with impeachment due to ethics violations resulting from a clandestine trip to Argentina to pursue an adulterous affair.
Ultimately that impeachment did not go ahead with the state House of Representatives instead voting to censure him.
Mr Sanford stayed on as governor until 2011, then taking a hiatus from politics before returning as a congressman, winning the election in 2013.
The news that Mr Sanford would be representing Mr Trump comes after earlier reporting suggesting that any Senate impeachment trial could be held up while the former president looked for legal counsel.
Law firms Porter Wright Morris & Arthur and Snell & Whitmer stopped representing the Trump campaign’s post-election lawsuits challenging results due to a public backlash.
Jones Day saw demonstrators gather outside its offices in New York and so also disassociated itself from Mr Trump.
Rudy Giuliani has said he cannot represent his client as he qualifies as a witness to the events leading up to the storming of the Capitol. Former Trump legal advisers Pat Cipollone, Jay Sekulow, Pam Bondi, and Eric Herschmann have all distanced themselves from the new impeachment.