New York is banning the distribution of single-use plastic bags statewide on Sunday, a move with the ambitious goal of reducing the billions of discarded bags that stream annually into landfills, rivers and oceans.

The law forbids most businesses from handing out the thin bags that are ubiquitous in supermarkets, bodegas and boutiques, making New York the third state to bar the bags after California, where a ban has already changed the way millions of people shop, and Oregon, where one took effect last month.

If successful, the transition could spur a cultural sea change as significant as the end of smoking in bars, or the shift in attitudes ushered by seatbelt laws: Once optional, buckling up is now so automatic for most people that it happens almost unconsciously.