Robertson returned to England in 1936 as assistant Keeper in the Greek and Roman department of the British Museum, cataloging the pottery from the excavations at Al Mina in Syria led by C. Leonard Woolley. At this time Robertson was implicated in the scandal of the damage during cleaning to the Elgin Marbles; the controversy cost him promotion at the museum. Robertson served in the war from 1940 to 1946, marrying Theodosia Cecil Spring Rice in 1942. After the war Robertson returned to the British Museum. He resigned in 1948 to succeed Bernard Ashmole as Yates Professor of Classical Art and Archaeology at University College London. In 1961 Robertson again succeeded Ashmole, this time as Lincoln Professor of Classical Archaeology and Art at Oxford in which role he served until his retirement in 1978. As a scholar Robertson is best remembered for his work on Greek art, in particular vase painting, of which he was a student, and in many respects heir, of John Beazley. When Beazley died in 1970, Robertson and another Beazley student, Dietrich von Bothmer updated and enlarged Beazley's earlier lists of painters, Paralipomena: Additions to Attic black-figure Vase-painters and to Attic Red-figure Vase-painters, published in 1971. His A History of Greek Art, which first appeared in 1975, remains the authoritative text and still used for its breadth of learning and deep understanding of the topic; an overview of the topic written by, at that time, one of the most eminent scholars in the field. 1975, too, saw the publication of The Parthenon Frieze. His first book was Greek Painting in which he used vase-paintings and work in other media to try to recreate the lost wall-paintings that were known only through textual references. His work on Athenian red-figure vase-painting finally culminated in The Art of Vase-Painting in Classical Athens, a book published while he was in his eighties. He was also the recipient of the festschrift "The Eye of Greece" edited by Donna Kurtz and Brian A. Sparkes.
Poetry
As a poet Robertson published various collections, including Crooked Connections, For Rachel, A Hot Bath at Bedtime, and The Sleeping Beauty's Prince. Many of his poems are available from .
Personal life
Robertson married Cecil Spring Rice, and had six children, including the popular musician whose stage name is Thomas Dolby, and Stephen Robertson.