He is married to Tina Davis, a graphic artist and designer, and they have two children, Lily, a director at Alexander Gray Associates, and Daniel, a horticulturist in New York City.

Snyder also conceived and realized a series of initiatives to upgrade and enhance the experience of art and architecture across the Museum's 20-acre campus, culminating in a comprehensive $100-million, 300,000-square-foot expansion[10] by James Carpenter Design Associates and Efrat-Kowalsky Architects.

1457);[13] and the restored 18th-century Tzedek ve-Shalom Synagogue from Paramaribo, Suriname; and, in the Fine Arts, Nicolas Poussin’s "Destruction and Sack of the Temple of Jerusalem" (1625), Rembrandt van Rijn’s "St. Peter in Prison" (1631), Gustav Klimt’s "Die Medizin (Kompositionsentwurf)" (1897-1898);[14] the Arturo Schwarz Collection of Dada and Surrealist Art, Jackson Pollock’s "Horizontal Composition" (1949), the Noel and Harriette Levine Collection of Photography, Yayoi Kusama’s "Ironing Board" (1963), Alina Szapocznikow’s "Cleaning Woman" (1965), and Gerhard Richter’s "Abstraktes Bild" (1997); together with acquisitions of emerging contemporary art and site-specific commissions by such artists as Ai Weiwei, Olafur Eliasson, Anish Kapoor, and Doug and Mike Starn.

These included: Ai Weiwei: Maybe, Maybe Not (2017); the Museum's 50th Anniversary exhibitions,[15] among them A Brief History of Humankind (2015), featuring 14 pivotal objects from across the Museum's collections from prehistoric times through the present day, complemented by signature works from the Museum's contemporary holdings; James Turrell: Light Spaces (2014); Dress Codes: Revealing the Jewish Wardrobe (2014); Herod the Great: The King’s Final Journey (2013); A World Apart: Glimpses into the Lives of Hasidic Jews (2012); William Kentridge: Five Themes (2011); Looking for Owners and Orphaned Art (2008), two ground-breaking exhibitions on art looted during World War II; and Surrealism and Beyond (2007), which completed major international tours in 2009 and then again in 2014–15.

[18] In this position, Snyder worked closely with the Foundation's international leadership to champion the vision of founder Teddy Kollek, Jerusalem's mayor from 1965 to 1993, to promote the city as an urban model for cross-communal coexistence.