Klich studied psychology at the University of Gothenburg and worked with adolescent children before turning to photography. He joined Magnum Photos in 1998 and left in 2002. His work is noted for a strong commitment to social issues and has worked with street children in Mexico and drug addicts in Denmark. In 2001 he collaborated with the author Herta Müller on a project and book Children of Ceausescu detailing the HIV crisis among Romanian children.