The baby was born on Wednesday (July 17, 2013).
Cassandra, 28, is Sheen's daughter with his ex-girlfriend Paula Profit, who was the actor's high school sweetheart.
"It's impossibly a most wondrous day. My bucket list is a thimble," tmz.com quoted Sheen as saying.
Cassandra is married to Casey Huffman.
Sheen is also the father of daughters Sam, nine, and Lola, seven, with his ex-wife Denise Richards, and four-year-old twins, Max and Bob, with his ex-wife Brooke Mueller.