The boy is from Northern Ireland, but his family do not want him to be named to protect his identity. His mother had to give up her job to look after him.
In June, his parents made the difficult decision to remove him from mainstream schooling because he was not coping.
They requested a place for him at a special school but are still waiting.
In September, the family was told that all the special schools in the South Eastern Education Board area were full to capacity and no time frame could be given as to when a place would become available.
The boy's mother told the BBC's Good Morning Ulster programme that her son does not understand why his brother and sister are able to go to school but he is not.
"He really misses being around people, he doesn't like being isolated, but unfortunately the way the system has been working so far has actually worked to isolate him more," she said.
The family has now been told that an extra classroom assistant has been employed at a local special school and the hope is that their son will be able to start there in the next few weeks.
However, the boy's mother is worried that this same situation will happen to other families as the special needs school system is packed to capacity.
"The schools are being put in the position where they have a family like us who desperately require a place in the school, but they really have no capacity there because the school is already over-subscribed."
The BBC asked the Education Authority for a response to the concerns the family has raised but its spokesperson said they could not comment on individual cases.
"As we have a duty to protect the privacy rights of the child, it would be unacceptable to publicly discuss their specific and highly sensitive needs", they said.
In relation to special school provision in general, they said the Education Authority was "currently reviewing the profile of need for special school places in Northern Ireland and is endeavouring to ensure that places are available close to where the children reside".
"This work is ongoing and is designed to assist with the placement of children with effect from 2016," the spokesperson added.

His son, film director Duncan Jones, confirmed the news and a statement was released on his official social media accounts.
"David Bowie died peacefully today surrounded by his family after a courageous 18-month battle with cancer," it said. News of his death has prompted response across social media.
According to a social media data analytics tool, by 0900 GMT there were over a million tweets globally, using the hashtag #Bowie. The top 10 trending Twitter tags included #RipDavidBowie, #DavidBowie and #Bowie and #legend.
Fellow musicians have been sharing their sadness on social media. Marc Almond says he is "devastated":
Comedian Ricky Gervais tweets of his loss, while fellow funny man Eddie Izzard has an upbeat message.
And of course there are the the legions of Bowie fans who have told of their shock and sadness. Theresa McAllister shared how she felt when she first heard the news.
Katherine, on Twitter, finds the positive in the sadness.
A chance encounter at a bar in Wembley has stayed with Christine Mackenzie, as she shared on Facebook.
And the conversations on Facebook continue with many fans recalling their encounters with the rockstar:
And others made reference to his film work, which included playing Jareth The Goblin King in the 1986 Jim Henson movie Labyrinth.
But mainly the word on repeat is "legend".
Mel sums up the woes of growing older:
And as if to prove that David Bowie's music was out of this world, British astronaut Tim Peake sent his thoughts from the International Space Station.
Compiled by Alison Daye
A nine-year-old boy with autism has been unable to go to school for three months because all the special schools in the area near his home are full.
[NEXT_CONCEPT]
Singer David Bowie has died at the age of 69 following an 18-month battle with cancer.