The Latin music superstar, 48, told the outlet about maintaining a life away from the spotlight with their three children, twins Lucy and Nicholas, five, and three-year-old daughter Mary.
"You learn as you go," he said of parenting. "You have your good times, your bad times, and if you can get through the bad times, you'll get to the really good times.
"A lot of people say, 'Oh, well, I know this is the person I'm going to spend the rest of my life with.' I do kind of agree with that, but at the same time, you really never know where life is going to take you and what can happen."
He also opened up about doing school runs with his kids and shared a surprising bit of insight into their music tastes and which of his songs is their favorite.
"When I pick them up from school and they're having a bad day or one of them is crying or they're fighting, we say, 'Guys, what's your favorite song?'
"And then one breaks out into 'I Like It,' and then they all start singing it, and it's so cute. I'm just enjoying now. I'm enjoying every single day."
Enrique also revealed how much he really missed being away from his family when on tour. He is currently on The Trilogy Tour with Pitbull and Ricky Martin.
"When I go on the road, I miss them a lot," the "Hero" singer gushed. "I feel like they're still not old enough to go on the road with me.
"I like quiet and to be in my zone before I go on stage. I don't like a lot of craziness going on backstage. It's the complete opposite of Almost Famous."
He was also asked whether he felt awkward performing his hit "Tonight (I'm [expletive] You)" now that he was a dad-of-three, but he simply responded: "No, not at all actually!
"I have thought about: OK, if I'm alive when I'm 60, 70, and for some crazy reason I happen to be touring, how is it going to sound when I'm singing 'Tonight I'm [expletive] You'?
"But I still haven't gotten to that point where I'm like, 'Oh [expletive], I feel really awkward singing this song.'"
The beloved Spanish singer-songwriter also discussed meeting Anna, now 42, on the set of the "Escape" music video from 2001, revealing how it "changed my life in ways I didn't even think about."
"When we met – although she came from the sports world – in a way, we kind of got each other. She knew what my world was like. I kind of knew what her world was like. So that understanding helped a lot. We just started connecting little by little and got stronger and stronger and stronger."
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