Name suppression for the four men arrested following a $20m cocaine bust in Tauranga has been lifted.

Matthew Scott, 44, Deni Cavallo, 46, Benjamin Northway, 35, and Mario Habulin, 46, all appeared in the dock at Tauranga Court today.

The men now face charges related to possession for the supply of cocaine, possession for the supply of methamphetamine, import and export of cocaine and participation in an organised criminal group.

An estimated 46 kilograms of cocaine, with a street value of around NZ$20 million ($450 per gram), was seized from an address in Tauranga early yesterday morning.

The discovery was made after a five-month long operation by Customs and police.

Judge Edwin Paul removed interim name suppression, which was not opposed by defence.

None of the accused applied for bail when they appeared in court today.

The men have been remanded in custody until December 4.

During this time, police will prepare a submission for the courts to try and get the case transferred to Auckland, as that is where the majority of the charges originate from.

All four of the men's defence lawyers have opposed the case being transferred to Auckland.