The Scottish actor will lead a cast of comedians in the cartoon tale of the richest duck in the world.
American actors Danny Pudi, Ben Schwartz and Bobby Moynihan will voice the parts of Scrooge's great-nephews Huey, Dewey and Louie.
DuckTales originally ran from 1987 to 1990. The revival will air in 2017.
Scrooge's nephew Donald Duck will also make appearances in the new show, along with fellow returning characters Launchpad McQuack and Webby Vanderquack.
Former Doctor Who star David Tennant is to be the new voice of Scrooge McDuck in a remake of the animated Disney series DuckTales.