A report by Tasmanian Custodial Inspector Richard Connick was tabled in Parliament on Thursday which was critical of security measures in place at the facility as well as screening processes for visitors, the use of force against detainees, and isolation methods.

However, redacted sections of the report could still be viewed under heavy black ink.

These sections detailed how parameter fencing was accessible to, and could be scaled by, detainees.

The Greens on Friday said they had written to Tasmanian's Children's Commissioner and urged her to undertake an inquiry into the centre and follow up on findings within the report.

Greens leader Cassy O'Connor said it was alarming to learn of poor security and screening practices at the site.

Ms O'Connor said Ashley did not serve the youth it cared for or the community well.

She said Human Services Minister Roger Jaensch had not yet explained why sections of the report were redacted, by who, and how the redacted sections were still able to be read.

"There is no privacy issues there in the redactions," Ms O'Connor said.

"It's clearly a cover-up of the failings of that institution."

Community and Public Sector Union secretary Tom Lynch said the state's Custodial Inspector should have the discretion to redact material from reports which could pose a security risk.

He said Mr Jaensch needed to order an immediate review of the information that was unintentionally released and, if necessary, make changes to security systems to ensure risks were addressed.

The government and Communities Tasmania were both contacted for comment over whether the redaction process used within this report would be reviewed.

Both said they would not provide comment on an independent statutory authority.

A spokesperson for the Custodial Inspector said he would not provide any further comment on the report.