Prince, who handled the comms strategy during the impeachment and trial of President Clinton, joins Brunswick as a partner with a specific remit to handle crisis comms.
He will be based in Brunswick's New York office, but will also work out of the agency's Washington bureau.
Prince remains a director on the board of Govolution - a provider of financial transaction processing software to the US federal government - for which he acted as CEO and chairman following his departure from the White House.
Most recently, Prince acted as a founding partner in New York-based public affairs and issues management consultancy Isay, Klores, Prince.
Prince's appointment follows that of ex-White House aide James Rubin, who joined the agency as a partner in 2001 (PRWeek, 11 May 2001).