Jones, who frequently performed the role of Henry (The Old Actor) under the stage name Thomas Bruce, stepped into the revival April 26 in anticipation of the musical's 50th anniversary celebration on May 3.
Understudy Tom Flagg will step into the role June 7 through July 3. MacIntyre Dixon, who was previously playing Henry Off-Broadway, returns to the role on July 5.
The current cast includes Edward Watts, Erik Altemus, Tom Flagg, Gene Jones, Matt Leisy, Michael Nostrand, Evy Ortiz, Steve Routman, Kimberly Whalen and Scott Willis.
The Fantasticks has choreography by Janet Watson with musical direction by Robert Felstein.
Harvey Schmidt wrote the music and Jones penned the book and lyrics. Word Baker directed the original Off-Broadway company.
Tickets can be purchased by visiting Ticketmaster.com or by calling (212) 307-4100. The Snapple Theater Center is located at 210 West 50th Street at Broadway.