Police say they are making good progress into the investigation of the multi-million dollar crypto-currency heist of Christchurch-based Cryptopia last week.

"Positive lines of inquiry are being developed to identify the source of the transfer," police said in a statement.

An unauthorised transfer of crypto-currency worth a significant sum was made on January 13-14.

Police say the investigation is "very complex" and involves expert digital forensic investigators from within New Zealand and in various overseas jurisdictions, as well as overseas authorities.

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Cryptopia management and staff have been co-operating with police and providing considerable assistance in the investigation.

Police say the investigation is expected to take some time to complete.

The digital forensic team will be on-site at Cryptopia's premises for some days, according to the statement.