Labor's Science and Technology spokesperson Jen Butler said the state government must consider the severe implications of the hack amid concerns for the safety of children and families fleeing from domestic violence.

"The people implicated in the data breach are put in a really, really dangerous position," she said.

"They have trusted these departments with their personal information, some of which is extremely sensitive.

"It is a real breach of trust with the community."

Ms Butler said some Tasmanians might struggle to access appropriate support or advice.

"It's not good enough for Tasmanians to not only have had their personal data compromised, but now they're finding they might not be able to access someone for information on how to best protect themselves," she said.

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"We've actually asked that the hotline service for people that have been compromised are given 24-hour round-the-clock support instead of the 9am to 6pm hours currently offered."

Labor is putting pressure on Education, Children, and Youth Minister Roger Jaensch and Premier Jeremy Rockliff to cut their Easter breaks short.

"Clearly, the Minister for Science and Technology has not been up to the job of protecting Tasmanians, and we feel that it's time for the Minister for Education and Children and the Premier to return to work and manage the crisis," she said.

"Roger Jaensch has failed in his duty of care to Tasmanian parents and children and has likewise refused to provide a full account of what information has been breached."

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Science and Technology Minister Madeleine Ogilvie said the government is continuing to investigate the data breach, saying no new data was released overnight.

"We continue to contact those affected by the data release yesterday to ensure their well being with a priority on those assessed as most vulnerable, along with working with the relevant authorities to investigate and monitor this situation," Ms Ogilvie said.

"We are proactively reaching out to those who may be affected. We have our incident and communications processes underway, our website is live, and our call centres are receiving calls.

"We are encouraging anyone who is concerned to reach out, and we are prioritising those people who have the most need. We are using triaging in that process."

Ms Ogilvie said she was concerned for the vulnerable Tasmanians who need assistance.

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"If someone rings the hotline, what they can expect is a very warm and friendly person on the other end who is there to help give as much information as they can, and then they will be able to give an answer. If they can't, they will work with the person to help them get to the point of clarity," she said.

"We will act immediately if there are any updates and will keep the community informed at every step."

Ms Butler said the "horrendous" situation should never have occurred.

"It was made clear in late January that the third-party software being used by the State Government had serious issues in regards to cyber security, however, the Liberal Government failed to act," Ms Butler said.

"Tasmanian families must feel incredibly let down and angry knowing their personal and confidential information has been breached and released for the world to see."

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