The coffee chain becomes the largest food and drink company operating globally to do so, citing the environmental threat to oceans.
The company said it will make a strawless lid available at 8,000 stores in the US and Canada for certain drinks.
It comes a week after Starbucks’s US hometown of Seattle banned single-use plastic straws and utensils at businesses that sell food or drinks in the city.
Starbucks said cold beverages in which a straw is typically included make up 50% of the drinks its sells, up from just 37% five years ago.
:: Sky’s Ocean Rescue campaign encourages people to reduce their single-use plastics. You can find out more about the campaign and how to get involved at www.skyoceanrescue.com