Giger was born in 1940 in Chur, the capital city of Graubünden, the largest and easternmost Swiss canton. His father, a pharmacist, viewed art as a “breadless profession” and strongly encouraged him to enter pharmacy. He moved to Zürich in 1962, where he studied architecture and industrial design at the School of Applied Arts until 1970.

Giger’s first success was when H. H. Kunz, co-owner of Switzerland’s first poster publishing company, printed and distributed Giger’s first posters, beginning in 1969.

Giger had a relationship with Swiss actress Li Tobler until she died by suicide in 1975. Tobler’s image appears in many of his paintings. He married Mia Bonzanigo in 1979; they divorced a year and a half later.

Giger’s style and thematic execution were influential. He was part of the special effects team that won an Academy Award for Best Achievement in Visual Effects for their design work on the film Alien. His design for the Alien was inspired by his painting Necronom IV and earned him an Oscar in 1980. His books of paintings, particularly Necronomicon and Necronomicon II (1985) and the frequent appearance of his art in Omni magazine contributed to his rise to international prominence. Giger was admitted to the Science Fiction and Fantasy Hall of Fame in 2013. He is also well known for artwork on several music recording albums including Danzig III: How The Gods Kill by Danzig, Brain Salad Surgery by Emerson, Lake & Palmer, Attahk by Magma, Heartwork by Carcass, To Mega Therion by Celtic Frost, Eparistera Daimones and Melana Chasmata by Triptykon, Deborah Harry’s KooKoo, and Frankenchrist, by the Dead Kennedys.

In 1998, Giger acquired the Saint-Germain Castle in Gruyères, Switzerland, which now houses the H.R. Giger Museum, a permanent repository of his work.

On 12 May 2014, Giger died in a Zürich hospital after suffering injuries from a fall. In July 2018, the asteroid 109712 Giger was named in his memory.

In addition to his awards, Giger was recognized by a variety of festivals and institutions. On the one year anniversary of his death, the Museum of Arts and Design in New York City staged the series The Unseen Cinema of HR Giger in May 2015.