Outstanding scrumhalf Will Genia scored two of the home side's five tries with centre Samu Kerevi, winger Dane Haylett-Petty and flanker Michael Hooper also crossing. Bernard Foley kicked four conversions and Reece Hodge a late penalty.
Winger Santiago Cordero and number eight Facundo Isa scored Argentina's tries and flyhalf Nicolas Sanchez contributed 10 points from the boot but the Pumas were unable reproduce the form that gave the All Blacks a minor scare last week.
Australia hold on to beat South Africa as All Blacks overcome Argentina
New Zealand reclaimed the championship title from Australia after their 41-13 victory over South Africa earlier on Saturday gave them four bonus point wins from four matches.
Aaron Smith's toilet tryst overshadows All Blacks squad
All Blacks set for wholesale changes against Springboks