1958 – 61The Young Contemporaries, Arts Council of Great Britain
1958Nine Young Contemporaries, Gimpel Fils, London
1961 – 62The London Group
1962Sculptors Today and Tomorrow, Bear Lane Gallery, Oxford
1962Twenty-Six Sculptors, Institute of Contemporary Arts, London
1962Arts Council of Great Britain – travelling exhibition
1962New Art Centre, London - group exhibition
1963New Art Centre, London – solo show
1963Construction England, Arts Council Travelling Exhibition
1964New Art Centre, London - Matt Rugg, Sandra Blow, John Hubbard
1964Bradford City Art Gallery – group exhibition
1964Queen’s Square Gallery, Leeds – joint exhibition
1964-65New Painting 61-64, Arts Council touring show
1965British Sculpture in the Sixties, Contemporary Art Society exhibition at Tate Gallery, London
1965Arnolfini Gallery, Bristol - joint exhibition
1965Galleria del Naviglio, Milan - solo exhibition
1966Structure 1966, Welsh Committee of the Arts Council of Great Britain City Museum, Cardiff
1966New Art Centre, London – solo show
196718th Salon de la Jeune Peinture, Musee d’ART Moderne de la Ville de Paris (group exhibition)
1967Northern Sculptors 67, Shipley Art Gallery, Gateshead
1967-68British Sculpture and Painting from the Collection of Leicestershire Education Authority, Whitechapel Art Gallery, London
1968Painting 64-67, Arts Council Touring Show
1969English Landscape Tradition in the Twentieth Century
1969The English Landscape Tradition in the 20th century: insert “Camden Arts Centre, London
1970New Art Centre, London - solo show
1974British Sculptors: attitudes to drawings, Sunderland Arts Centre
1975Sculptors’ Drawings, JPL Fine Arts, London
1979Prize Winner, 2nd Tolly Cobbold/Eastern Arts National Exhibition
19855th Tolly Cobbold/Eastern Arts National Exhibition
201050th anniversary exhibition of work by Fine Art graduates of 1960, Newcastle University (group show)
2011Silent Notation, Chelsea Futurespace, London - solo show
2017Notations - between drawing and sculpture, The Cut, Halesworth, Suffolk (solo show)
2017Pioneers of Pop, Hatton Gallery, Newcastle University (group show)
2022Matt Rugg, Notations - passages and intervals, The Cut, Halesworth, Suffolk (solo show)
2022Matt Rugg: Early and Late Works, New Art Centre, Roche Court Sculpture Park (solo show)
2023Matt Rugg: Organic Form, Gallagher & Turner, Newcastle upon Tyne (solo show)
2023-24Matt Rugg: Connecting Form, Hatton Gallery, Newcastle upon Tyne (solo show)