Jeremy Hunt says he will ensure "swift action" is taken in the NHS to prevent future abuses of patients akin to those carried out by Jimmy Savile.
The Health Secretary said he accepted in principal recommendations of Kate Lampard's report into the lessons learned by the Savile case.
Those included new rules on access, volunteering, safeguarding patients, dealing with complaints and governance.
He said NHS Trusts should develop policies on dealing with celebrity visitors, as was also recommended in the report.
However, he said he would not accept the recommendation that all volunteers should be made to go through enhanced checks, saying the report stated that this "may not in itself have stopped Savile".
Health Secretary Jeremy Hunt has apologised on behalf of the government to victims of Jimmy Savile for the "clear failings" in the NHS that allowed abuse to go "unchecked".
"On behalf of the government, I apologised to them last June and today I repeat that apology.
"What happened was horrific, caused immeasurable and often permanent damage and betrayed vulnerable people who trusted us to keep them safe. We let them down."
NHS organisations must keep a closer check on famous volunteers and visitors for signs of grooming and sexual abuse, a report into the lessons learned from Jimmy Savile's abuse in hospitals has found.
"Our investigations disclosed that many NHS volunteer programmes are not managed and overseen at a senior level, and do not have the management resources they need," report author Kate Lampard said.
She added that her investigation suggested most NHS organisations still do not have "adequately explicit and robust processes for managing their relationships with celebrities, important visitors, fundraisers and donors.
The report called for a "robust policy for agreeing to and managing" these visits, and said this must be applied to all such visitors, whoever they may be".
Lampard said the "clear message" taken from the investigations was that preventing similar abuses in future "rests above all on training and retraining staff on how to create a safe environment and to identify and act upon signs of risk".
Jimmy Savile's decades of sexual abuse across the country could have been brought to a halt if a formal complaint had been properly dealt with, the author of a report into his behaviour at Stoke Mandeville hospital has said.
Dr Androulla Johnstone told a press conference that had the complaint, which was later dropped, been "managed properly", the entertainer "would probably have been apprehended at that point".
She added that the officials made aware of Savile's abuse had "failed in their duty to protect".
Dr Johnstone said around a third of his attacks were made against patients, 10 of whom were under the age of 12. They ranged from inappropriate touching to rape.
Jimmy Savile's brother was likely also a serial sex abuser at a London hospital, a report today has claimed.
Johnny Savile, the entertainer's older brother who died in 1998, was accused of molesting and possibly raping women at Springfield Hospital in south London, the report said.
The claims were made between five women between 1978 and 1980, and related to his time as a recreation officer at the hospital in the 1970s - with the last two culminating with him being sacked for gross misconduct of a sexual nature in 1980
The allegations were uncovered by officers involved in Operation Yewtree.
Dr Androulla Johnstone, lead investigator into Jimmy Savile's abuse at Stoke Mandeville Hospital, told a press conference today: "All NHS services should be alert to predatory sexual offenders like Savile who can be placed in a position of trust and authority."
Today's report into abuse by Jimmy Savile at Stoke Mandeville hospital contains deeply distressing accounts of 60 people abused.
Included are some shocking accounts:
- An eight-year-old visitor - the youngest victim - recalls being raped 10 times
- 10 victims were under 12 at the time
- 27 victims 15 or under
- 10 complaints were made to staff and one also made to police
The report also found that enough was known about Savile's behaviour to have warranted assertive intervention at a senior level.
Staff at Stoke Mandeville hospital who complained about Jimmy Savile's behaviour were "severely reprimanded for interfering", a report has found.
As ITV News Health Editor Rachel Younger reports, the inquiry found that the hospital's ongoing reliance on his support prevented his behaviour being challenged.
#Savile report - 60 victims, youngest 8, ranging from touching to rape. Nothing done despite 9 informal complaints + 1 formal one.
#Savile Inquiry finds although he was widely regarded as a sex pest staff who tried to complain were "severely reprimanded for interfering"
#Savile report finds 10 reports made of sexual abuse to Stoke Mandeville staff - those individuals "Failed in their duty to protect"
It was an "open secret" that Jimmy Savile was a sex pest since he began as a voluntary porter at Stoke Mandeville hospital in 1973, victims have claimed in a report published today.
Thirty-seven of his victims, who included hospital patients, visitors and staff, were interviewed for the report and told of behaviour ranging from groping to rape.
Today's report noted: "The ward nursing staff had tried to warn her before she went that Savile had a reputation, and when [a victim] returned to the ward she told the nursing staff what had happened. It appeared to be an open secret that Savile was a 'sex pest'."
The 348-page report, released today, said: "Savile was an opportunistic predator who could also on occasions show a high degree of premeditation when planning attacks on his victims."
Jimmy Savile's behaviour and sexual abuse at 41 NHS hospitals across the country, a children's home and a hospice "indicates the need for us to examine safeguarding arrangements in NHS hospitals, the raising of complaints and matters of concern and how managers and staff respond to complaints", an independent report has found.