Henry Griffin began his training at age 8 at Philadelphia Dance Theatre under Joy Delaney-Capponi and Yosbel Delgado. After attending summer programs at the School of American Ballet from 2017–2019, Griffin joined SAB at age 16. He also attended summer programs at Ballet Academy of Texas in 2019.
Griffin attended Regional Dance America in 2018 and 2019 where he performed original works from emerging choreographers.
Griffin joined Boston Ballet II in 2021. He joined Boston Ballet as an artist of the Company in 2022.