According to a spokesperson for the venue, the 82-year-old Craft is in "frail health."
Clarinetist Charles Neidich will step in for Craft, leading Stravinky's Symphonies of Wind Instruments.
Wall to Wall Stravinsky runs 11 a.m. to 11 p.m. at the Upper West Side venue. The event is free and no tickets are required.
Performers include jazz clarinetist Don Byron; actors Richard Thomas and Leonard Nimoy; the Ying Quartet; pianist Jeremy Denk; soprano Marni Nixon; and dancers Jacques d'Amboise, Allegra Kent, and Arthur Mitchell.
For more information, visit www.symphonyspace.org.