West Yorkshire Chief Constable has been referred to the Independent Police Complaints Commission after the Hillsborough disaster.
West Yorkshire Police Authority's Special Committee agreed last week to record a complaint against Sir Norman and immediately refer it to the IPCC for investigation.
Sir Norman said after the meeting he was pleased to have the matter investigated.
Today, in a statement, the IPCC said: "The IPCC has now received a referral from West Yorkshire Police Authority in relation to complaints against Chief Constable Sir Norman Bettison.
"This referral ... follows complaints from members of the public about two matters: 1) allegations that the Chief Constable, while a serving officer with South Yorkshire Police, was involved in the production and supply of misleading information for the various inquiries that have been undertaken into the Hillsborough disaster; 2) the public statement made by the Chief Constable on 13 September 2012."
The statement went on to explain how the commission was looking at the referral closely to work out how it should be investigated.
It said: "This assessment is being conducted in parallel with our ongoing review of the Hillsborough Independent Panel report and supporting documentation.
"The review is being undertaken to identify from the report what conduct, by named or unnamed police officers, may require referral and to clarify our jurisdiction."
It said it was looking at all previous inquiries into the disaster, which claimed the lives of 96 Liverpool fans at Sheffield Wednesday's Hillsborough ground at an FA Cup semi-final match against Nottingham Forest.
The commission said it was also examining previous investigations by its predecessor body, the Police Complaints Authority.
The IPCC said it was aware of ongoing reviews by the South Yorkshire and West Midlands forces to determine whether further matters needed to be referred.
The statement concluded: "We are keenly aware of the public interest in this matter and the understandable concerns the publication of the panel's report has created.
"However we must stress that the analysis of the comprehensive documentation disclosed by the panel will take some weeks to complete."