The Russian was seeded No. 26 at the All England Club and her withdrawal has resulted in the 33rd-ranked Klara Zakopalova of the Czech Republic climbing into the seedings at No. 32.
Kuznetsova won the US Open in 2004 and the French Open in 2009 but has never progressed further than the quarter-finals at Wimbledon.
Wimbledon starts on Monday.