Lim’s work has been exhibited widely in United States and internationally, including San Jose Museum of Art, San Jose; Yerba Buena Art Center, San Francisco; St. Louis Art Museum, St. Louis; Vancouver Art Gallery, Vancouver; Hammer Museum, Los Angeles; Museum of Art, Seoul; Ullens Center for Contemporary Art, Beijing; Schirn Kunsthalle, Frankfurt; DA2 Domus Artium, Salamanca; Wexner Center for the Arts, Columbus; ZKM Museum fur Neue Kunst, Karlsruhe; Wilhelm-Hack-Museum, Ludwigshafen; Museum Haus Ester, Krefeld; Museum der Moderne, Salzurg; Museum of Contemporary Art, North Miami; Casino Luxemboug - Forum d'Art Contemporain, Luxembourg; Museum für Gegenwartskunst, Siegen; and Kunstlerhaus Bethanien, Berlin.
Her biennale exhibitions include International Incheon Women Artists’ Biennale, Incheon; Architecture, Art and Landscape Biennial of the Canaries, Fuerteventura; Gwangju Biennale, Gwangju; Snapshot: New Art from Los Angeles, Hammer Museum, Los Angeles; and Muenster Sculpture Biennale, Muenster.