Lucas Dean, 20, of Marsh, was discovered early on Saturday morning and is thought to have taken his own life.
A spokesman for Kirklees Active Leisure (KAL), which runs the centre, said: “A tragic incident happened at Huddersfield Leisure Centre on December 31.
“A member of the KAL team appears to have taken their own life whilst in the centre.
“The thoughts of KAL are with the family and friends of this staff member at this very sad time and we would offer our sincere condolences to them.
“KAL have no further comment to make.”
Police were called shortly after 8am on Saturday and confirmed officers attended and a 20-year-old man was later pronounced dead at the scene.
The centre remained closed on Saturday and re-opened on Monday.
West Yorkshire Police confirmed Mr Dean’s death is not being treated as suspicious and there will be no further police involvement.
An inquest will be opened and adjourned at Bradford Coroner’s Court tomorrow (Friday) by senior coroner Martin Fleming.
If you’re struggling to cope with mental health issues here are some of the ways you can access help.
Samaritans (116 123) operates a 24-hour service available every day of the year. If you prefer to write down how you’re feeling, or if you’re worried about being overheard on the phone, you can email Samaritans at email@example.com.
Childline (0800 1111) runs a helpline for children and young people in the UK. Calls are free and the number won’t show up on your phone bill.
PAPYRUS (0800 068 41 41) is a voluntary organisation supporting teenagers and young adults who are feeling suicidal.
Depression Alliance is a charity for people with depression. It doesn’t have a helpline, but offers a wide range of useful resources and links to other relevant information. http://www.depressionalliance.org/
Students Against Depression is a website for students who are depressed, have a low mood or are having suicidal thoughts. Bullying UK is a website for both children and adults affected by bullying. http://studentsagainstdepression.org/