Hamilton served as the Chairman Emeritus of the Denver Art Museum (DAM) Board of Trustees. He served as the DAM's Vice Chairman beginning in 1984, became Chairman of the Board of Trustees in 1994 and acted as Co-Chairman with J. Landis (Lanny) Martin from July 2011 to January 2013. He guided the museum through several major milestones, most notably the planning, financing and construction of the Frederic C. Hamilton Building, designed by Daniel Libeskind. It first opened to the public in October 2006. Additionally, Hamilton led two major endowment campaigns for the DAM during his tenure, growing those assets to more than $100 million. He also helped lead the fundraising effort to complete the $110 million expansion project. In recognition of his long-time support, the museum named its 146,000-square-foot expansion, the Frederic C. Hamilton Building. Hamilton was a member of the Trustees Council of the National Gallery of Art, an alumni member of the Smithsonian Institution Board of Directors, on the Board of Trustees of the Denver Area Council Boy Scouts of America and President of the Graland Country Day School Foundation Board.