They now have a one-nil lead in the three-Test series.
The first half at Eden Park was a tight affair, but the British and Irish Lions were not able to capitalise on their opportunities in the second period.
The All Blacks survived an early scare after a Jonathan Davies line-break and a good run by Conor Murray, but Israel Dagg was able to hold Elliot Daly off the line with a superb tackle
First blood went to the All Blacks when the Lions were pinged at the ruck. Beauden Barrett kicked the penalty to put the first points on the board.