Most states prohibit open containers of alcoholic beverages, like beer and wine, while driving a vehicle, but depending on the percent of alcohol by volume (ABV), you probably can drink non-alcoholic beer while driving in California.
Specifically, California law states that drivers and passengers must refrain from drinking any beverage with .5% or more ABV. Though all non-alcoholic beers contain a small amount of alcohol, most contain less than .05% ABV. So, yes, you can drink it while driving in California.
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