Kerber, the top seed, cruised past Japanese qualifier Risa Ozaki 6-2 6-2 while Czech second seed Pliskova beat 15th-seeded compatriot Barbora Strycova 6-1 6-4.
Kerber was barely tested in her 62-minute match during which she displayed a great arsenal of shots and was all over her opponents' serve.
She moves on to face the winner of Monday's round-of-16 clash between Venus Williams and Russian seventh seed Svetlana Kuznetsova.