Adams, 51, and Alicia Grimaldi, his personal assistant, welcomed baby girl Mirabella Bunny on April 22.
"She arrived like all good Easter bunnies on Easter Friday. Mother and baby are both well and happy. Thanks in advance for your kind thoughts and wishes," Adams said.
Adams confirmed the pregnancy in March, saying, "[Alicia] helped me start my foundation years ago and it looks like she'll be running the family now!"