Tasmania Police is investigating the incident, and calling on the community to consider how their actions will affect those around them.

Security cameras at the hospital captured the two women leaving with the bottles of hand sanitiser about 7pm Wednesday.

Following an investigation, police are alleging the women stole six bottles of hand sanitiser.

Burnie Inspector Rob Gunton said it was incredibly disappointing.

"A review of CCTV from the hospital shows two women exiting the hospital through the rear doors near Accident and Emergency with bottles of hand sanitiser," he said.

"It's incredibly disappointing, especially during this time of emergency, that someone would steal sanitiser from a hospital and the people that provide vital medical services to our community."

Anyone who saw two brown-haired women in the hospital about 7pm Wednesday, one wearing a pink jumper and one grey, is asked to contact police on 131 444 or Crime Stoppers anonymously on 1800 333 000.