The Puerto Rican singer - who is openly gay - chose both an egg donor and surrogate mother to carry his twins, Mateo and Valentino, now two, after spending hours poring over internet profiles.
Explaining the process to US TV show `Access Hollywood`, he said: "I sat in front of the computer and I started searching. It definitely was a very beautiful journey.
"I know what the donor looks like. Yeah, it`s in the computer, you sit down for hours and look at different profiles."
When asked by the interviewer what made him choose he particular donor he settled on, Ricky replied: "It`s a vibe thing, you know. In this case, it was like, I feel something in her eyes and her smile. Then you read the profile and you read her letter, and where she goes to school and she`s very beautiful. And she is smart as well."
Ricky also described his nerves on the day of the birth, and his elation when he heard the first cries of his newborn twins.
He recalled: "I received a phone call `You`re gonna be a daddy today, OK?` I was not in the delivery room, but I was in the little room next to it so I could hear the first cry."
The 38-year-old star hailed the twins` birth as a "miracle" and was astonished by the surge of emotion he felt when he held the babies for the first time.
On his feelings at that moment, he said: "This is real. Woah! OK, perfect. So I want to hold them. I need to hold them.
"I went to my room and the nurse gave them to me and I started holding them and I was like, -This is amazing. I mean, it feels incredible. There is a God. This is miraculous and they do look like me."
The `Livin` La Vida Loca` singer also revealed he is a very hands-on father, changing nappies, waking, bathing and feeding his children, putting them to sleep and singing to them.
He added: "There`s very typical Spanish songs - lullaby-ish songs or, you know, I can go back to classic rock once and a while."