After starting to paint in 1945, Roberto Crippa joined the spatial movement with Lucio Fontana, Gian Carozzi, Giorgio Kaisserlian, Beniamino Joppolo, Milena Milani, Sergio Dangelo, Carlo Cardazzo, Cesare Peverelli.
Graduated in art in 1948 at the Accademia di Brera (where he met Aldo Carpi, Carlo Carrà and Achille Funi), he took part in the Venice Biennale the following year, and exhibited works at the Milan Triennale. Again in 1950, 1954 and 1956 he was present at the Biennale and again in 1950 he exhibited in Trieste during a collective exhibition entitled Spatial art.
Following his friendship with Lucio Fontana, he was one of the signatories of the third "Manifesto of Spatialism" (Proposal for a regulation) in 1950. In 1951 he also participated in the "Space Art Manifesto". Crippa's work in the early fifties was centred around a series of paintings called Spirals, geometric and abstract in nature: with the quasi-circular (but never perfectly round) geometric gesture, Crippa created convoluted spaces, from which rays projecting out of the two-dimensionality of the canvas were generated.
Crippa went to New York, where he met the surrealists Max Ernst, Victor Brauner and Yves Tanguy, and exhibited at the Alexander Lolas gallery. His style evolved, becoming fuller, incisive and more convoluted. In 1955 he moved on to the production of multi-material works, which populated a solo show at the gallery of the Naviglio in Milan. The following year, he further developed his inspiration for multi-material paintings, making works in iron, bronze and steel inspired by primitive symbolism. With these works he participated in the 1958 Biennale. The use of original materials resulted in the production of works in asbestos, cork, newspaper and tissue paper, combined with different colours.
Crippa was a fan of aerial acrobatics, so much so that in 1971 he was invited as an Italian representative at the World Aerobatic Championships. In 1962 he was a victim of a flight accident, forcing him into a wheelchair for almost a year. Nevertheless, he participated in various exhibitions in Europe and the United States. In this phase of his career, Crippa went on to painting landscapes, with a multi-material technique and with the usual abstract style.
In 1967 the State of Rhodesia dedicated a stamp to Crippa; the following year the artist, fully recovered, took part in the Biennial of Venice and Menton. In 1972, during a preparation flight to the World Championships, Crippa's plane crashed near the Bresso airport, killing the artist and his pupil Piero Crespi.