The prison service confirmed that four people were taken to hospital on Friday night.
Six others received medical attention inside the prison for women and young offenders.
The NI Prison Service said it would investigate the circumstances of the incident.
A Prison Service spokesperson said: “Four young people from Hydebank Wood College were taken to hospital after becoming unwell, following medical examination they returned to the college.
“As a precaution a further six students received medical attention on site.
“None of those involved faced life-threatening conditions.
“Hydebank Wood is operating as normal and the Prison Service will be fully investigating the circumstances of the incident.”