1979 Harry H. Goode Memorial Award Recipient
"In recognition of his support and major contributions to the development of the ENIAC; his pioneering work on the logic, design and coding of electronic computers; his leadership role in the design, construction and use of the IAS machine at the Princeton Institute for Advanced Study; his significant contributions to the theory and practice of matrix computations; his encouragement of young scientists and mathematicians to explore the use of electronic computers; and his penetrating analysis of the history of computing"
In retirement Goldstine became executive director of the American Philosophical Society in Philadelphia between 1985 and 1997 where he was able to attract many prestigious visitors and speakers.
Goldstine died on June 16, 2004 at his home in Bryn Mawr, Pennsylvania after a long struggle with Parkinson's disease. His death was announced by the Thomas J. Watson Research Center in Yorktown Heights, New York where a post-doctoral fellowship was renamed in his honor.