Svenja Jung was born on May 28, 1993 in Weroth, Germany. She already took acting lessons during her high school years. After graduating from high school, she took acting classes at Actors Space Berlin and made her first appearances in short films, music videos and dramatized sequences of the TV documentary program "Zwischen Kindheit und Erwachsensein" (2013).

Jung's professional breakthrough came with a recurring role in the TV soap opera "Unter uns" (2014). She went on to guest star in the TV shows "Heldt" and "Der Alte" and also had a small role in the teen comedy "Verrückt nach Fixi" (2016). After her lead role as a student leading a double life as a prostitute in the drama "Fucking Berlin" (2016), Jung starred in the film adaptation of the bestselling novel "Die Mitte der Welt" ("The Center of My World", 2016).

In the following years, Svenja Jung appeared in several TV productions. She was nominated for the New Faces Award 2017 for her role as a mentally handicapped young woman in the TV thriller "Ostfriesenkiller" (2017) as well as for the leading roles in "Fucking Berlin" and "Die Mitte der Welt". She was also part of the main ensemble of the 70s series "Zarah - Wilde Jahre" (2017) and had leading roles in "Wer jetzt allein ist" (2018) from the series "Tatort", the thriller "Jenseits der Angst" (2019) and the tragicomedy "Ihr letzter Wille kann mich mal!" (2019).  

She received the 2018 Bavarian Film Award for Best Young Actress for her lead role in the feature drama "A Gschicht über d'Lieb" (2018), about the special relationship of a pair of rural siblings. In 2019, Jung starred in the German Netflix miniseries "Zeit der Geheimnisse" ("Holiday Secrets"). She played another leading role on the big screen in Katja von Garnier's "Fly" (2020), as a young convict who finds herself through a dance program but then threatens to be caught up by her past. The film opened in theaters in October 2021.

Since then, she has appeared in a number of successful series. In 2020, for example, she played the role of Sonja Tannhaus in the third season of the hit Netflix series "Dark" and appeared shortly thereafter in the third season of "Deutschland 89," which was released on Amazon and was also very popular. She also starred as a Stasi agent in the German-Romanian series "Spy/Master," a spy story loosely based on real-life events involving the CIA, Securitate, KGB and Stasi, which premiered at the 2022 Berlinale. The German-Belgian co-production "Der Pfau") ("The Peacock"), in which Jung had a supporting role as a team-building seminar leader for a group of investment bankers at a Scottish country estate, was released in early 2023.