Rohr, 64, was PNC's CEO from 2000 through May of this year. He plans to step down as chairman of the bank next year, and also plans to leave the PNC board.
Rohr's experience in finance and risk will help General Electric, CEO Jeff Immelt said in a release. Rohr was elected by General Electric's board at its Friday meeting.
Shares of GE, whose businesses range from infrastructure technology to financial services, fell 0.4 percent to $23.76 in Friday afternoon trading. The U.S. conglomerate's stock has gained 13 percent so far this year.
(Reporting by Ernest Scheyder; Editing by Bob Burgdorfer and Krista Hughes)