Jane Harris, chief executive of Speech and Language UK, welcomed the announcement - but warned this alone would not be enough to change the lives of children with Send-related speech and language challenges.
"For these new resourced provisions to truly transform children's education and future employment, they must be more than just rooms – they must be hubs of expertise," Harris said.
"Success relies on specialist teachers working alongside speech and language therapists every single day.
"The Send crisis can't be solved without the specialist staff needed to support the 30% of children with speech and language challenges."
Jolanta Lasota, chief executive of Ambitious about Autism, also said she was pleased to see the increased investment from the government, while highlighting the current "postcode lottery" many families face when trying to access support.
"It is vital that this investment enables local authorities to plan and provide a mix of provisions that support the broad and diverse needs of autistic young people," Lasota said.
Autism is currently the most common primary need for children with an EHCP in England.
Many parents are unhappy and frustrated with the way the system is currently working with the National Audit Office (NAO) warning that despite increased investment, outcomes for students have not improved.
The number of parents taking councils to court over issues with Send provision reached a record high in 2024-2025, figures by the Ministry of Justice revealed on Thursday.
There were 25,000 Send appeals, up 18% from the previous year, with most disagreements over the content of EHCPs.
The free schools which will not go ahead will now go through a consultation period.
Plans by Eton College to open selective sixth-form centres in Dudley and Oldham have been approved, but its Middlesbrough proposal is earmarked for cancellation.
Free schools are publicly funded but are privately run by academy trusts, universities, charities, or faith groups.
Additional reporting by Kate McGough and Hazel Shearing