Landsberg is the recipient of two National Newspaper Awards, the YWCA Women of Distinction Award, the Dodi Robb Award from MediaWatch, the Robertine Barry Prize for journalism from the Canadian Research Institute for the Advancement of Women, the Florence Bird Award from the International Centre for Human Rights and Democratic Development, several honorary degrees, and the Canadian Governor General's Award in Commemoration of the 1929 Persons Case and Democratic Development, an award acknowledging contributions to equality for women which have resulted in positive change.