The Russian fifth seed was humbled in the first round of the Madrid Masters by Israeli Shahar Peer 6-3, 2-6, 6-0.
The loss followed by five days a second-round knockout in Rome at the hands of Maria Kirilenko.
Kuznetsova has now won a single clay match against three defeats.
Russian sixth seed Elena Dementieva earned an opening victory at the Caja Magica, crushing Canadian Aleksandra Wozniak 6-0, 6-1.
Austrian mother Sybille Bammer beat Kazak Yaroslava Shvedova in three sets, 6-4, 3-6, 6-3 while Russian Vera Zvonareva added to the misery for American US Open quarter-finalist Melanie Oudin in a 6-3, 6-4 defeat.
Men will begin play in Madrid on Sunday, with Roger Federer leading the field and trying to bounce back after a semi-final loss Saturday to Alberto Montanes in Estoril, Portugal.
Rafael Nadal is seeded second with Serb Novak Djokovic a pullout victim due to allergies which are affecting his health.
"The allergy problems I've had since Monte Carlo mean that I cannot play this week. It's an allergy problem that doesn't have a simple solution and it means I am out for the time being," said Djokovic, who was forced to quit a match at his home Serbia Open this week in Belgrade.