News of the court requests are unlikely to come as a surprise because it was previously reported the former Big Bang Theory actress had an "ironclad prenup in place" before marrying Cook, 30.
A source noted: "Her assets are protected."
The former couple insisted there was no "anger or animosity" towards each other when they announced they had split.
Their statement read: "Despite a deep love and respect for one another, we have realised that our current paths have taken us in opposite directions.
"We have both shared so much of our journey publicly so while we would prefer to keep this aspect of our personal life private, we wanted to be forthcoming in our truth together. There is no anger or animosity, quite the contrary."
Cuoco cited irreconcilable differences when she filed for divorce after three years of marriage.
In June, there were no signs of difficulties in their relationship as they marked their wedding anniversary with sweet tributes on social media.
Cuoco - who was previously married to tennis player Ryan Sweeting between 2013 and 2016 - wrote: "NY, June 30th, 2016 is the year we met. 2 years to the day before we got married and now 3 years married! Why have you stayed married to me for so long?! I'm sincerely impressed @mrtankcook lol I love you oh so much you have no idea…happy anniversary!!! (sic)"
Cook added: "I agree @kaleycuoco I am just as amazed it's been three years, feel like just a flash. I love you so much and I can't wait for a million more years!! (sic)"