Dunja Crnković was born in Zagreb and was married in 1963, changing her surname to Vejzović. She studied at the Zagreb Academy of Music, where she sang The Witch in Hänsel und Gretel in 1968. She began her career as a mezzo-soprano with the Croatian National Theatre in Zagreb, debuting in 1970 as Ariel in Stjepan Šulek's Oluja (The Tempest).
From 1971 to 1978, Vejzovic was a member of the Nuremberg Opera, where she appeared in many operas, including principal roles in Orfeo ed Euridice, Carmen, Tannhäuser (as Venus), Intolleranza, Die Soldaten (as Charlotte), Dido and Æneas, Elektra (as Klytemnästra), Il trovatore (as Azucena, directed by Hans Neuenfels in his operatic debut), Boris Godunov (as Marina Mnichek), Wozzeck (as Marie), Aïda (as Amneris), Lulu (as the Countess Geschwitz), and Samson et Dalila.
Her international career began in 1978, at the Bayreuth Festival, where she enacted Kundry in Parsifal, for three summers. On 9 October 1978 Vejzovic made her Metropolitan Opera debut in Tannhäuser, as Venus, opposite Jess Thomas in the name part, with James Levine conducting.
In 1980 and 1981, Herbert von Karajan engaged her to appear in his Salzburg Festival Parsifal, which was reckoned a great success. In 1984, she sang Ortrud, in Lohengrin, for that Festival. In 1982, Vejzovic debuted at the Teatro alla Scala, as Didon in Les Troyens, conducted by Georges Prêtre and directed by Luca Ronconi. At that theatre, she also appeared in Suor Angelica (as the Zia Principessa, 1983, conducted by Gianandrea Gavazzeni), Tannhäuser (1984), Der fliegende Holländer (as Senta, 1988), and Parsifal (conducted by Riccardo Muti, 1991).
Another of her great collaborations has been with the director Robert Wilson, in whose productions she sang the title role of Alceste (conducted by Christoph Eschenbach, 1986–87), and in Parsifal (1991 and 1992).
Vejzovic has also appeared in Monte-Carlo (Brünnhilde in Die Walküre, 1979), Berlin, Carnegie Hall (the Verdi Requiem, conducted by Lorin Maazel, 1982), Barcelona (Hérodiade, opposite Montserrat Caballé and José Carreras, 1983), Paris (Médée, 1986), Teatro Colón (Kundry, 1986), Vienna (Wozzeck, under Claudio Abbado, 1987; Lohengrin, with Plácido Domingo, 1990), and Houston (Parsifal and Lohengrin, 1992).
Also in her repertoire are Erwartung, Rienzi, Siegfried, Le Cid, Bluebeard's Castle, Œdipus rex, Attila, Abigaille in Nabucco, I due Foscari, Princess Eboli in Don Carlos, Lady Macbeth in Macbeth, Fierrabras, Fidelio, Thérèse, Brangäne in Tristan und Isolde, and Sapho.
Other distinguished conductors with whom Vejzovic has collaborated have included Christoph von Dohnányi, Armin Jordan, Michael Gielen, Lovro von Matačić, Jesús López-Cobos, Zubin Mehta, Carlos Kleiber, Nicola Rescigno, and Nikolaus Harnoncourt.
She has twice won the Prix Fondation Fanny Heldy, for her recordings of Kundry and Ortrud. As of 2009, Mme Vejzovic is a Professor at the Hochschule für Musik, in Stuttgart.
In March 2014 Vejzovic made a brief return to the stage, as the Grandmother Buryjovka, in Peter Konwitschny's production of Jenůfa, at Oper Graz.
- Wagner: Parsifal (Hofmann; Karajan, 1979–80) Deutsche Grammophon
- Wagner: Lohengrin (Tomowa-Sintow, Kollo; Karajan, 1976–81) EMI
- Wagner: Der fliegende Holländer (Hofmann, van Dam; Karajan, 1981–83) EMI
- Mercadante: La vestale (Cécchele; Šutej, 1987) [live] Bongiovanni
- Berlioz: La mort de Cléopâtre (Eschenbach, 1988) Supraphon
- Krenek: Orpheus und Eurydice (Hamilton; Steinberg, 1990) [live] Orfeo
- Brahms: Alto Rhapsody (Eschenbach, 1992) Virgin Classics
- Puccini: Suor Angelica (Plowright; Gavazzeni, Bussotti, 1983) [live] Kultur
- Wagner: Lohengrin (Studer, Domingo; Abbado, Weber, 1990) [live] Image Entertainment
- Documenta Dunja Vejzović, VERO Vision, 2003 [with companion Compact Disc of performances from 1966 to 2002]. ISBN 953-97687-3-X
- "Hrvatski operni pjevači 1945-2002". Vijenac (in Croatian) (219). 2002-07-25. ISSN 1330-2787. Retrieved 2015-01-11.