The cards were introduced at all air and sea ports on Tuesday morning to allow Public Heath to keep in touch with travellers who had entered the state after being overseas during the coronavirus pandemic.

As of Wednesday morning 104 arrivals into Tasmania had completed the card.

The process is being overseen by Biosecurity Tasmania staff and there are computer terminals or hard copy forms in the event there is an IT issue or passengers prefer not to use the electronic form.

Additional resources have been allocated to biosecurity to implement the travel arrival cards.

Coronavirus: All the latest updates on COVID-19 for Northern Tasmania

In Parliament Question Time, Greens health spokeswoman Rosalie Woodruff said her party was deeply concerned a lack of resourcing and stringent processes made this an ineffective protection measure.

She told the Parliament of two incidents, one where a traveller was observed not following the directions of airport staff and another where a person who arrived from a non-English speaking country was not given support to fill out the form.

"You can't be sure how many people did not comply if you are not enforcing [it] or tracking people properly," Dr Woodruff said.

Labor leader Rebecca White said the statistics for the number of cards that have been completed appear improbably low.

"We can't rely on everyone to do the right thing," Ms White said.

She suggested the cards be handed to travellers before they disembarked their flights.

Mr Gutwein said he accepted the issues raised and he would look into problems around language barriers.

"My understanding was cards would be provided in a range of languages as would the signage there to make sure people from other parts of the world understood what was required," Mr Gutwein said.

"We are asking people to self-identify and if we do need to take further steps we will need to see what can be done.

"Now that we have declared a public health emergency the offence provisions are up to $16,800 in terms of not complying with the requirement to fill that card out."

It could also attract a term of imprisonment up to six months.

Britt Aylen is one of the 104 people who have filled out a card having arrived in Hobart from Singapore via Melbourne on Tuesday.

She said, because she and her partner were wearing face masks, after arriving back in Tasmania they were flagged down immediately and asked to fill out the arrival card but others walked straight out of the terminal.

"If these forms are the only means by which the state government will be motioning those who are self-isolating then their numbers are going to be quite far off," Ms Aylen said.

"It was too easy to walk past and ignore the advice, especially for those whose first language isn't English."

Ms Aylen said there were strict biosecurity measures in place for the filling out of the form.

"Forms and pens were handed to us in sealed bags. We completed them, and then placed the pen and form back into the bag, sealed it, and then placed it into an additional bag which was then sealed," she said.

"The table was disinfected between arriving parties."

But another Hobart woman who travelled back to Tasmania from interstate on Tuesday afternoon said, while she noticed four biosecurity officers in the arrivals hall, she did not see anyone including people wearing masks approached or asked if they had come from overseas.

"I certainly wasn't given one or asked about it and neither were the people I knew on my flight," the woman, who wished to be anonymous, said.

Tourism Industry Council Tasmania chief executive Luke Martin said, as was the whole nature of getting a system set up quickly, there were obviously some teething issues around the arrival cards.

"We've also got to accept the reality that this is a short term fix because [visitors from overseas] will soon not be coming," Mr Martin said.