Three people were extradited from New South Wales to Tasmania on Thursday on drug trafficking charges, having appeared before the Bankstown Local Court the day before.

Detective-Inspector Kate Chalmers said a 24-year-old man, a 25-year-old woman and a 22-year-old man will face Hobart Magistrates Court next Wednesday.

A 39-year-old Austins Ferry man will also appear at a later date on drug importation and trafficking charges.

Detective-Inspector Chalmers said police alleged the group was part of a syndicate which had been importing and distributing ice "over a significant period".

"The arrests and extradition follow an extensive investigation across the two states," she said.

"Recent police intelligence and arrests reinforce the view that illicit drugs are being imported into Tasmania and not manufactured here."

Detective-Inspector Chalmers said the series of arrests had put those involved in the importation and distribution of drugs on notice.

"We will identify you, we will continue to target our main corridors - being the sea, air, mail and freight avenues into the state," she said.

Detective-Inspector Chalmers would not outline the amount of drugs involved as part of the investigation, which spanned several months, other than to say it was significant.

"We're talking a significant impact on the methamphetamine market into Tasmania," she said.

Detective-Inspector Chalmers said other drugs were involved in the investigation and police were looking further into the methodology of importation used by the syndicate.

"The investigation is ongoing and I can't at this point in time make the suggestion that there will be further arrests," she said.

"We know there is a link between organised crime syndicates and illicit drugs and that will form part of our enquiries.

"We know methamphetamine use in on the increase across Australia and Tasmania is not immune from that increase."

Tasmania Police encouraged members of the public to report suspicious activity anonymously to Crime Stoppers on 1800 333 000 or report online at crimestopperstas.com.au