A Department of Health spokesperson said:
We will investigate the Department of Health's conduct in apparently appointing Savile to this role. Although the framework for child protection and safeguarding for Broadmoor and other Special Hospital patients changed radically in 1999, we of course want to establish the circumstances and see if any lessons can be learned.
In hindsight he should very obviously not have been appointed. Had anyone involved in the appointment been aware of allegations of abuse against Savile, we would not have expected him to have been appointed.
Several of Sir Jimmy Savile's alleged victims are considering taking legal action against the DoH and the BBC, a lawyer has told ITV News.
BBC director-general George Entwistle offered a "profound and heartfelt apology" to the alleged victims of Sir Jimmy Savile's sexual abuse.
BBC chief tells ITV News UK Editor Lucy Manning he is satisfied with how the broadcaster reacted to the allegations against Jimmy Savile.