Government agencies are predicting a 10 per cent annual increase in sexual abuse compensation claims in the next six years - a trend which is believed to reflect increased reporting, not increased abuse.
The funding boost included support for male victims, who make up around a fifth of sexual abuse cases. The new money would also cover medical and forensic services, and community-based treatment services.
The Green Party's women's issues spokeswoman Jan Logie said the funding increase was a "huge win" which would give the sector some much-needed stability.
"Support services have been struggling for too long, having to worry about whether they will be able to afford to open their doors, so this long overdue funding is very welcome.
"While many services will still be operating on a shoe string to meet the need in the community, at least they will finally have the stability to focus on their work, not where the next dollar will come from."
A parliamentary inquiry is currently reviewing specialist sexual violence services following widespread concerns about availability and funding.