David Hisco, ANZ New Zealand chief executive, said the sale of OnePath "was in line with ANZ's strategic agenda to simplify its business, and was an opportunity to offer even greater value to ANZ customers through a respected insurance specialist."
ANZ said it would make a gain on the sale of about $50m, with the transaction value amounting to a "slight premium to embedded value," it said in a statement.
Hisco said sourcing life products from Cigna "is consistent with how we provide motor vehicle, home, commercial and travel insurance using a range of specialist insurance partners."
OnePath Life policyholders in New Zealand would continue to receive cover under the terms of their existing policies and workers at OnePath would be offered similar roles with Cigna or ANZ, the bank said.
ANZ's OnePath Life (NZ) division reported a profit of $32.3m in the year ended September 30, 2017, on revenue of $173.3m. The insurer sold its medical business to nib Holdings for $24.7m in the 2016 year.
Three of Australia's 'four pillars' have sold their life insurance units as they contend with tighter prudential requirements, selling assets and raising capital to ensure they meet the regulator's levels.
The dual-listed stock fell 0.7 per cent to $30.30 on the NZX today, having declined 4.2 per cent this year. Cigna, which says it has 95 million customers worldwide, fell 1.9 per cent to US$172.58 ($250.21) in New York and has gained 6.9 per cent in 2018.