"It's gonna be really special for her to know him through us ... to tell her about what an amazing man he was," she added, through tears.
The 22-year-old says her dad would have loved Grace "the most".
"It is really hard, it's hard that he's not here because out of everyone in the world he would've loved her the most," she said. "He would've loved her so much, but I think, in a way, he is still with us. His heart and soul lives on in all of us, so he's never really gone."
Bindi and husband Chandler Powell welcomed their daughter Grace on March 25, their first wedding anniversary.
Baby Grace turned one month old yesterday and the proud parents shared photos of Grace in her first pair of khakis, the Australia Zoo uniform the Irwin family has always proudly worn.