Suárez Navarro has suffered an injury to her right shoulder and this is the third time it has forced her out of a tournament this year. She also said in January that it had disrupted her preparations for the Australian Open, where she fell in the second round.
Kuznetsova, the two-times runner-up, misses out with what has been described as a minor abdominal strain. The World No.8 said in a statement: "I am sad to announce that I am not able to participate in the Qatar Total Open this year. I recently sustained a minor abdominal injury.
"My doctors have advised me to rest so I can be prepared to get back on the court as soon as possible. Doha puts on an amazing event and I apologize to all the fans that I won't be joining this year, but I look forward to coming back next year. I extend my best wishes to the organziers."