Anna Tsygankova was born in 1979 in Novosibirsk. Following graduation from the Novosibirsk Ballet Academy, she was invited to join the Bolshoi Theater in Moscow, where she was coached by Raisa Struchkova and was soon promoted to rank of the soloist. In 2004, she left Russia for Hungary to become a principal dancer with the Hungarian National Ballet in Budapest. In 2007, she joined the Dutch National Ballet in Amsterdam.
Anna has appeared as a guest dancer with other ballet companies, including those of the Vienna Staatsoper and Teatro dell'Opera in Rome and the National Ballet of Tatarstan at the Nureyev Festival in Kazan. Her repertoire includes La Bayadere by Natalia Makarova, The Sleeping Beauty by Sir Peter Wright, Swan Lake and Romeo and Juliet by Rudi van Dantzig, Giselle by Rachel Beaujean and Ricardo Bustamante, Don Quixote by Alexei Ratmansky, Mayerling by Sir Kenneth Macmillan and Sylvia by John Neumeier. Anna also has a broad neoclassical and contemporary repertoire, including works by George Balanchine, William Forsythe, Hans van Manen, Rudi van Dantzig, Ted Brandsen, Alexei Ratmansky and Wayne Eagling. She has created lead roles in Hans van Manen's Variations for Two Couples and Alexei Ratmansky's Don Quixote and the miniature Le Souvenir. In 2012, she created the title role in Christopher Wheeldon's Cinderella.
Five DVDs have been released featuring Anna dancing lead roles at the Dutch National Ballet's Hans van Manen Festival (2008) and in Giselle (2010), Don Quixote (2011), The Nucracker (2012) and Cinderella (2013). Her performances have also been broadcast worldwide in cinemas.