The game starts at 14:30 BST, followed by hosts Wales against Italy at 16:30, with the Wembley semi-finals on 23 November at 13:00 and 15:30.
The final at Old Trafford on 30 November kicks off at 14:30 and will be shown live on BBC One.
There will be live TV and radio coverage of all England's group games, plus a quarter-final and a semi-final.
New Zealand are the World Cup holders, having shocked Australia in the 2008 decider to win the tournament for the first time.
In addition to live coverage, there will also be regular TV highlights programmes throughout the tournament and extensive coverage on BBC Radio, the BBC Sport website and the BBC Sport app.
All of the games at the group stage which take place on a weekday will be evening kick-offs.

Beach Buddies said it is doubling its efforts with two sessions over the weekend after severe storms washed up "mountains of litter" onto the beaches.
Clean-ups will take place at Derbyhaven on Saturday and Sartfield on Sunday.
Beach Buddies, established in 2012, has recently applied for charity status and is challenging its volunteers to make Manx beaches the cleanest in Europe.
More than 1,600 people took part in 220 sessions held across the island last year - a 75% increase on the organisation's first year.
England's game against Australia will kick off the Rugby League World Cup at the Millennium Stadium on 26 October.
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Volunteers have been asked to help in a post-storm beach clean in the south of the Isle of Man.