He is a Swiss-American artist best known for work in the fields of graphics, painting, sculpture and architecture.
The exhibition at the park at West Bretton near Wakefield includes more than 40 works in the Underground and Garden Galleries and open air sites.
It is the the largest museum project to date by Not Vital, described as “extraordinary and enigmatic” by critics, and it runs until January 2.
A spokesman for the Yorkshire Sculpture Park said: “The artist’s work is inextricably linked to his native Sent, a tiny village in the lower Engadin valley in the Swiss Alps, yet his practice is crucially fed by a life made rich through global travel and an enduring sense of enquiry and wonder.”
In the Underground Gallery, paintings and sculpture made from plaster, ceramic, silver, marble, glass, gold, coal and stainless steel, along with works on paper in the Garden Gallery, will be on show.
They are said to convey Not Vital’s alchemist-like exploration of material, place and identity.
The spokesman added: “Works in the open air resonate with YSP’s rolling 18th-century estate.”
The Yorkshire Sculpture Park opened in 1977 and is renowned for its Henry Moore and Barbara Hepworth works. It was the UK’s first sculpture park and is one of the largest open-air displays of Moore’s bronzes in Europe.
Since the 1990s, Yorkshire Sculpture Park has made use of a number of indoor exhibition spaces.