 In 1997 she was a recipient of the Frances Fish Women Lawyers Achievement Award.Glube was made an Officer of the Order of Canada in 2006 for her part in serving the community as a legal trailblazer, including becoming the first female chief justice in Canada.In 2009, the Nova Scotia branch of the Canadian Bar Association established the Contance R. Glube CBA Spirit Award to recognize achievement in law by Nova Scotian women lawyers.