The book was immensely popular and went through multiple printings in the United States, and was translated into a number of other languages, notably German in 1925. By 1937 the book had sold 1.600.000 copies in the United States alone. Nordic theory was strongly embraced by the racial hygiene movement in Germany in the early 1920s and 1930s; however, they typically used the term "Aryan" instead of "Nordic", though the principal Nazi ideologist, Alfred Rosenberg, preferred "Aryo-Nordic" or "Nordic-Atlantean". Stephen Jay Gould described The Passing of the Great Race as "The most influential tract of American scientific racism". Grant's work was embraced by proponents of the National Socialist movement in Germany; Passing was the first non-German book ordered to be reprinted by the Nazis when they took power, and Adolf Hitler wrote to Grant that "The book is my Bible".
Grant's work, while a subject of popular discussion in the United States from the 1910s through the 1930s, was often attacked by scientists who believed it to be little more than racism cobbled together with amateurish approaches to history and anthropology. The book is considered one of the most influential and vociferous works of scientific racism and eugenics to come out of the United States. One of his long-time opponents was the anthropologist Franz Boas, whom Grant would reportedly not shake hands with on account of Boas being Jewish.