Cairns needed emergency surgery at a Sydney hospital earlier this month and was briefly on life support.
In a statement, his family said he will now begin a ‘significant rehabilitation process’ at a specialist spinal hospital in Australia.
They added that the 51-year-old faces ‘a long road to recovery.’
Considered one of the best all-rounders of his generation, Cairns played 62 Tests, 215 One-Day Internationals and two Twenty20 Internationals for New Zealand between 1989 and 2006 before becoming a television pundit.
His father Lance also represented New Zealand between 1974 and 1988. (BBC)