The rocker and wife Penny Lancaster welcomed their new son last month after two rounds of IVF.
And Rod, 66, who has seven other children, said that they are both still in awe of their child and the effect that he has had on their relationship.
He told Hello! Magazine, 'Aiden is our miracle baby.
'Parenthood has taken our relationship to a new love and understanding.'
Penny gave birth just the day after her 40th birthday and said that she couldn't have asked for anything better.
'Aiden is the best birthday present I could have wished for,' she said. 'My family is now complete.'