A Korean fugitive accused of killing three family members has been arrested by police in New Zealand.

The 35-year-old is suspected of killing his mother, stepfather and 14-year-old half-brother in South Korea on October 21 before fleeing to New Zealand with his wife and two young daughters.

He was arrested at 5.30pm today by New Zealand police on a separate historic theft charge, and is now in custody.

The man is due to appear in North Shore District Court tomorrow.

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"New Zealand Police are continuing to liaise with Korean authorities and this matter is being treated as a priority," Detective Senior Sergeant Nadene Richmond said in a statement.

"Extradition proceedings have not been received, for that reason, police cannot add anything further at this stage."