The 20-year-old Japanese, who followed her Indian Wells title run with a first-round victory over eight-times Miami champion Serena Williams this week, simply had no answer for Svitolina during their 83-minute clash.
Svitolina, who last month claimed the sixth title of her career with her triumph at the Dubai Open, faced little resistance as she won 72 percent of her total service points and was broken once.
With the win, the Ukrainian will face either Australian 26th seed Daria Gavrilova or German Andrea Petkovic in the third round.
Australian 21st seed Ashleigh Barty also reached the third round with a 6-0 7-6(0) win over American wild card Claire Liu.
Among the other key matches to be played in the women’s draw on Friday are clashes between eighth-seed Venus Williams and Russian Natalia Vikhlyantseva and Danish second seed Caroline Wozniacki’s battle with Puerto Rico’s Monica Puig.