Labor leader Rebecca White moved a motion in Parliament on Thursday to debate Mr Ferguson's ability to continue in the role following a damning report this week from the state's Auditor-General on the performance of emergency departments within Tasmania's public hospitals.

The motion to allow for debate was defeated.

If it was to proceed, it would have been the second no-confidence motion debated regarding Mr Ferguson in as many months.

Ms White listed 12 reasons as to why the motion should be debated which included findings drawn from Auditor-General's report on ambulance ramping, increases in adverse events in emergency departments as well as long waiting times for mental health patients in emergency departments and underfunding of the health service.

"We can no longer stand by while people are dying in the hospital system and we take no action to fix it," she said.

Ms White said Labor could not participate in next month's hospital access solutions meeting if Mr Ferguson was still the minister.

"The only way we can deal with this matter is for the minister to be replaced by somebody who will listen and work constructively with health professionals," she said.

"He has failed comprehensively ... and the minister should resign."

Premier Will Hodgman said Labor preferred political games over working constructively with the government towards solutions within the health system.

"They stand for nothing and they offer nothing," he said.

Mr Hodgman said the Auditor-General's recommendations would be worked through and their implementation would be supported by expert advice.

Treasurer Peter Gutwein said Mr Ferguson had down "an extraordinary job".

"More than 500 new nurses employed, more 140 new doctors, more than 100 allied health professionals, more than 60 paramedics," he said.

"One hundred and thirty new beds opened under this minister."

"On any measure, he has been delivering what people expect of a Health Minister."

Ms White in Question Time asked Mr Ferguson whether he received the Auditor-General's report before the budget was handed down on May 23.

Mr Ferguson later replied he received a summary of the report on May 15.