With Hurricane Florence approaching the U.S. East Coast, Disney’s Hilton Head Island Resort will close on Tuesday, Sept. 11, 2018, and is expected to remain closed through Monday, Sept. 17. Please continue to check back for updates. Members and Guests with questions about an upcoming reservation should contact Member Services at (800) 800-9800. Q. … Read moreDisney’s Hilton Head Island Resort Closing In Advance of Hurricane Florence.