The coffee chain will now retreat entirely from the Russian market, after suspending trading there in March.
It said it would continue to pay nearly 2000 staff working at its shops in the country for six months.
Starbucks joins firms such as McDonald's and Renault in permanently exiting the country.
US and Western allies responded to the war by hitting Russia with wide ranging economic sanctions aimed at isolating it economically and cutting it off from the global financial system. The rules make it difficult for Western companies to operate there.