Tien was born in Taipei, Taiwan. After finishing her dance studies at the Taipei National University of the Arts she moved to Germany to study at the Folkwang University of the Arts in Essen.
After her graduation in 2011, Tsai-Wei joined the Folkwang Tanzstudio and worked simultaneously as a guest dancer for Tanztheater Wuppertal Pina Bausch. Since 2015 she is a full-time member in the Pina Bausch Company.
Tsai-Wei worked with choreographers such as Dimitris Papaioannou, Emanuel Gat, Johannes Wieland, David Hernandez, François Chaignaud, Cecilia Bengolea, Moya Michael, Henrietta Horn, Malou Airaudo and others.
In 2017 Tsai-Wei co-founded the company Peculiar Man that produces and spreads her own choreographic work.