Molner, 50, proposed to Couric, 56, at sunset on a beach in East Hampton, N.Y., the Tuesday report said.
Couric is the host of the chat show "Katie" and Molner is the head of mergers and acquisitions at Brown Brothers Harriman & Co., "Good Morning America" noted.
Couric's first husband, Jay Monahan, died of colon cancer in 1998. Couric had two daughters with Monahan -- Ellie, 21, and Carrie, 17.
Senate Democrats to pull all-nighter on climate change
Dennis Rodman pledges to end trips to North Korea