Kroeber was born in Hoboken, New Jersey, to upper middle-class parents: Florence Kroeber, who immigrated at the age of 10 to the United States with his parents and family from Germany, and Johanna Muller, who was of German descent. His family moved into New York when Alfred was quite young, and he was tutored and attended private schools there. He had three younger siblings and all had scholarly interests. The family was bilingual, speaking German at home, and Kroeber also began to study Latin and Greek in school, beginning a lifelong interest in languages. He attended Columbia College at the age of 16, joining the Philolexian Society and earning an A.B. in English in 1896 and an M.A. in Romantic drama in 1897. Changing fields to the new one of anthropology, he received his Ph.D. under Franz Boas at Columbia University in 1901, basing his 28-page dissertation on decorative symbolism on his field work among the Arapaho. It was the first doctorate in anthropology awarded by Columbia.