Rick Venero was abused at a Marist Brothers school in Sydney and he now wants action taken against institutions who protected pedophiles.
"(The apology) meant a great deal. It's fantastic to get that from the Australian people," Mr Venero told AAP in Canberra.
"(But) it's pretty shattering actually, to come here and everyone's behind it, and the power of these institutions means that nothing's really happening."
One man, who asked not to be named, whose school friends were abused by a Catholic priest, said the apology had come too late.
"Some people are going to be haunted by it forever," he said after watching the broadcast at a ceremony in Melbourne.
"Some people have already killed themselves."
In a speech broadcast around the nation, Mr Morrison became emotional at times as he recalled some of the personal stories.
“Look at the galleries, look at the Great Hall, look outside this place, and you will see men and women from every walk of life, from every generation and every part of our land, crushed, abused, discarded and forgotten."
“The crimes of ritual sexual abuse happened in schools, churches, youth groups, scout troops, orphanages, foster homes, sporting clubs, group homes, charities and in family homes as well.”
Survivors of child sexual abuse finally heard
The five-year Royal Commission that exposed the horrific scale of the abuse heard from 17,000 survivors, and 8,000 recalled their abuse in private sessions.
He told of one mother who had lost a daughter to suicide.
“As a father of two daughters, I can't comprehend the magnitude of what she has faced,” Mr Morrison said.
“Not just as a father, but as a Prime Minister, I am angry too at the calculating destruction of lives and the abuse of trust, including those who have abused the shield of faith and religion to hide their crimes, a shield that is supposed to protect the innocent, not the guilty.
“They stand condemned... on behalf of the Australian people, this Parliament and our government, and I table that and, as I do, I simply say I believe you, we believe you, your country believes you.”
The government has already set up a national redress scheme to pay compensation to survivors, with contributions from the states and some of the main responsible institutions, including the Catholic Church.
Today, the government announced a national museum to remember the abuse. It will also set up a National Centre for Excellence to research the impacts of abuse on survivors.
Mr Morrison's apology in parliament was followed by an address from Opposition Leader Bill Shorten, before the adjournment of the House of Representatives.
Survivors react to National Apology in the Great Hall
"Today belongs to you," Mr Shorten said, referencing victims.
"We will remember them today and Australia must promise to always remember them."
In a later address to survivors in the Great Hall of parliament, Mr Shorten said he understood why many victims would be thinking "words are cheap".
He said it was the "moral duty of this parliament and future parliaments not to second-guess the Royal Commission, but just to do the implementation of the recommendations of the Royal Commission."
Emotions were running high in the hall, as hundreds of survivors listened to the proceedings.
One shouted out: "Why do the institutions still get public money?"
The Royal Commission was set up by former prime minister Julia Gillard - who also rose to speak, without preparation.
She said she was sitting where she wanted to be, "with the survivors and their families and friends".
"Thank you to the very great honour you have paid to me today by acknowledging me in the room," Ms Gillard said.
It exposed institutions that had deliberately covered up the crimes of pedophiles who had preyed on vulnerable children.
It led to the landmark conviction of Adelaide’s archbishop Philip Wilson, who was sentenced to 12 months detention not for being an abuser himself, but for deliberately concealing the sexual abuse of children at the hands of pedophile priest Jim Fletcher between 2004 and 2006.