Headspace said that in the weeks since 13 Reasons Why's debut, the service had seen a growing number of calls and emails directly related to the series.
Headspace's national manager of school support Kristen Douglas said the show "exposes viewers to risky suicide content and may lead to a distressing reaction by the viewer, particularly if the audience is children and young people."
The organisation is asking health services, teachers and parents to be mindful of the dangers inherent in the series' content.
Headspace boss Dr Steven Leicester said: "There is a responsibility for broadcasters to know what they are showing and the impact that certain content can have on an audience."
Australian media agree to guidelines developed by mental health experts in terms of how suicide is depicted or reported. Details such as method are suppressed as it is believed they can lead to suicide contagion.
13 Reasons Why was released on the streaming service at the end of latest month and received predominantly favourable reviews.
Speaking to a panel of journalists in February, Gomez said 13 Reasons Why was a personal project for her because she could relate to the pain of the characters in the story.
"[The project] hit a very important part of me," she said. "We're not going to post things like 'be empowered' because that's not what they want to see. Unfortunately, kids don't care.
"They have to see something that's going to shake them. They have to see something that's frightening and follow these people. I want them to understand it.
"I would do anything to be able to have a good influence on this generation and it's hard but I definitely relate to everything that was going on and I was there for the last episode and I was a mess just seeing it all come to life because I've experience just that for sure."
Gomez added she hoped it was a series kids could share with their parents so they could talk about these important issues together, and that it could ultimately bring light to a dark topic.
Where to get help:
• Lifeline: 0800 543 354 (available 24/7)
• Suicide Crisis Helpline: 0508 828 865 (0508 TAUTOKO) (available 24/7)
• Youthline: 0800 376 633
• Kidsline: 0800 543 754 (available 24/7)
• Whatsup: 0800 942 8787 (Mon-Fri 1pm to 10pm. Sat-Sun 3pm-10pm)
• Depression helpline: 0800 111 757 (available 24/7)
• Rainbow Youth: (09) 376 4155
• Samaritans 0800 726 666
• If it is an emergency and you feel like you or someone else is at risk, call 111.