Ben is the youngest of Travolta's three children with late wife Kelly Preston, who died in July following a lengthy battle with breast cancer. She was 57.
The couple also shared 20-year-old daughter Ella and late son Jett, who died in 2009.
In August, Travolta posted a heartwarming video showing him and Ella sharing a dance in honor of Preston.
Travolta also took to Instagram in October to honor what would have been Preston's 58th birthday.
"Happy Birthday hon!" Travolta captioned the post, which showed his wedding as well as his parents' nuptials. "I found this photo of my mom and dad‘s wedding. It was nice to see ours alongside theirs. All my love, John."