Kirsch’s death was announced on the Stan Kirsch Studios Facebook page on Monday.
He and Green founded the acting school in 2008.
“We will be closed for the next 2 weeks as we process and grieve,” the post read in part.
On Monday, Green thanked Facebook followers "for the outpouring of love and support" in the wake of her husband's death.
"I haven't been able to respond to all the texts, calls, emails — but have read or listened to every single one of them," Green wrote.
'Surrounded by love'
"I feel surrounded by love and am forever grateful to each and every one of you."
The Highlander Facebook page shared a lengthy tribute to Kirsch, calling him "nothing but kind, thoughtful and sincere".
The actor's death has been ruled a suicide.
If you need help in a crisis, call Lifeline on 13 11 14. For further information about depression contact beyondblue on 1300224636 or talk to your GP, local health professional or someone you trust.
“He was so loved and we are all just devastated.”
This story first appeared on 7NEWS.com.au