Tasmania's top prosecutor has strongly criticised the Integrity Commission for refusing to give him information about possible crimes by public servants.

In August, outgoing integrity commissioner Murray Kellam accused the State Government of complacency in tackling corruption.

He said the failure to create an "offence of misconduct in public office" meant public servants who would be prosecuted in New South Wales, Victoria and South Australia were getting away with misbehaviour in Tasmania.

Mr Kellam said a number of the commission's investigations could have resulted in prosecutions, if the offence of misconduct in public office existed in Tasmania.

But in his annual report, acting director of public prosecutions Darryl Coates said he had looked into other states' offences, and concluded there were few, if any, types of misconduct under those laws that Tasmania's Criminal Code did not already address.

"At no stage in the past two-and-a-half years has the commission asked this office for advice on the adequacy of the criminal code to prosecute serious public office misconduct," Mr Coates said.

The report includes letters between Mr Coates and the then-chief executive of the Integrity Commission, Dianne Merryful, in which he raised concerns about why information was not passed on.

"What are these investigations and, if they exist, why have they not been referred to me or the Commissioner of Police if the commission was of the view that the conduct was so serious as to warrant criminal sanction?" Mr Coates wrote in the annual report.

"I find it very disappointing that having publicly stated, in effect, that its investigations have revealed conduct which the commission believes is deserving of prosecution, it has refused to forward such information to me to determine whether in fact any criminal offences have occurred, particularly when the act states that is one of its functions."

In the letters, Mr Coates and Ms Merryful dispute whether the commission has discretion to refer potential breaches of the law or if it was required to under the act.

"Even if I am wrong about [the relevant section of the act] being mandatory, I would have thought, given the commissioner's complaint that public servants are escaping criminal convictions, you would at the very least have a moral duty to comply with that section," Mr Coates said.