The competition is to air as "Thin Ice" on ABC March 19 and 21.
Hasselbeck is one of the co-hosts of the TV chat show "The View" and Browning is a four-time World Champion Canadian figure skater.
ABC said the competition's judging will be split between viewer votes via www.abc.com and the panel of expert judges.
The competitors are Stephane Lambiel, Jamie Sale, Patrice Lauzon, Shizuka Arakawa, Shae-Lynn Bourne, David Pelletier, John Zimmerman, Michael Weiss, Elena Berezhnaya and Marie-France Dubreuil.
Celebrity Couples of 2014 [PHOTOS]