Robert Normandeau has received awards at the following contests:
- Concorso internazionale Luigi Russolo di musica elettroacustica, Varèse (Italy): 1989, 1990
- Concours biennal de composition acousmatique Métamorphoses, Ohain (Belgium): 2002, 2004
- Concours de composition du Festival international de musiques sacrées — Fribourg, Fribourg (Switzerland): 2002
- Concours international de musique électroacoustique de Bourges, Bourges (Cher, France): 1986, 1988, 1993
- Concurso de Composición Electroacústica Destellos, Mar del Plata (Argentina): 2017
- Giga-Hertz-Preis, Karlsruhe (Baden-Württemberg, Germany): 2010
- International Rostrum of Electroacoustic Music: 1990
- Joseph S Stauffer Prize, Ottawa (Ontario, Canada): 1999
- Klingler ElectroAcoustic Residency, Bowling Green (Ohio, USA): 2017
- Musica Nova International Competition of Electroacoustic Music, Prague (Czech Republic): 1994, 1995, 1998, 2000, 2005, 2012, 2013, 2017
- Música Viva — Concurso Internacional de Composição Electroacústica, Parede (Portugal): 2017
- Prix Ars Electronica, Linz (Austria): 1993, 1996
- Prix international Noroit-Léonce Petitot de composition musicale acousmatique, Arras (Pas-de-Calais, France): 1991, 1993
- Prix Opus, Québec: 1999, 2012
- Prix Phonurgia Nova, Arles (Bouches-du-Rhône, France): 1986, 1987
- SOCAN Awards, Canada: 1995
- Stockholm Electronic Arts Award, Stockholm (Sweden): 1992