The Jamaican dominated the race and lowered his own world record.
Cameron Norrie, Marin Cilic and Roberto Bautista-Agut were among the seeded players to advance at the Western & Southern Open.
Russians Ekaterina Alexandrova and Veronika Kudermetova looked in sharp form during their straight-sets first-round wins.
Norrie beat Dane Holger Rune in three sets.