"I'm feeling completely overwhelmed with the outpouring of kindness and support from the people that surround me and from those I have never even met," the TV star said.
She continued, "I want you to know, I read all your comments and your sweet words have touched me deeply. I'm incredibly grateful for all your love as I start this next chapter in my life."
At the end of September, Cuoco's rep told People magazine, "Kaley Cuoco and Ryan Sweeting have mutually decided to end their marriage. They ask for privacy at this time. No further statement will be issued regarding this matter."
The actress, 29, and Sweeting married on New Year's Eve in 2013.
Last week, Cuoco also responded to rumors of a secret relationship she allegedly had with her "Big Bang Theory" co-star Johnny Galecki.
"So sorry to disappoint, but no home wreckers or secret flings going on here," wrote Cuoco on Instagram. "Me and @sanctionedjohnnygalecki are just the best of buds - Leonard and Penny will just have to suffice!!!"