Bluhm's work has been critically praised and his works are in the collections of many major museums. His career is marked by notable stylistic shifts as he continually challenged himself to reach new areas of artistic achievements based on his profound knowledge of art and art history, use of the human figure, color, and a passion for life. Although his style changed dramatically over time, he remained deeply interested in gestural abstraction, and the ethos of Abstract Expressionism. Among his more noted work are a series of poem paintings done with his good friend the poet Frank O'Hara. Shortly before Bluhm died, in 1999, Art in America editor Raphael Rubinstein predicted that the works Bluhm made in the 1980s and 1990s at the end of his career would be as important to the 21st century as Cézanne’s later output was to the 20th.
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Bluhm's work while recognized and praised has never received the measure of attention that some of his contemporaries, such as Joan Mitchell and Riopelle, have. In part, this is due to Bluhm's unwillingness to cater sufficiently to those in the commercial art world. Also changing art tastes in the 60's with the advent of Pop Art placed Bluhm in a critical. The Estate of Norman Bluhm, in partnership with Edizioni Mazotta, Milan, published a monograph in 2000 on Norman Bluhm with essays by James Harithas, Raphael Rubinstein and Luigi Sansone. In 2007, the Station Museum of Contemporary Art in Houston, Texas, organized a major exhibition under the title 'The Late Paintings of Norman Bluhm'. The Houston Press reported that The New York artist’s panoramic paintings are patterned like stained glass windows or mandalas, but the shapes inside are sexy while Garland Fielder's review at Glasstire mentioned that Bluhm’s paintings project such a life-affirming and honest candor, one cannot help but feel awash in a glow of spiritual joy. In 2015, Christie's New York held "Norman Bluhm: Divine Proportion", showing works form the 1960s, 70s and 80s. The exhibition catalog reproduced James Harithas's introduction to Bluhm's 1973 show at the Everson Museum as well as a 1987 interview of the artist conducted by William Salzillo. From February - May, 2020, a retrospective of his work, "Norman Bluhm: Metamorphosis" was held at the Newark Museum, with a catalog that published essays about his work as well as an interview conducted with the artist by Paul Cummings in 1969.