While appearing on a show, the 42-year-old 'Max Payne' star even joked that he wanted to punch Styles, reported Ace Showbiz.
"The girls have turned to One Direction, they don't care about Dad anymore. My 4-year-old's going, 'Daddy, I like Harry.' And I'm like, 'Well, I'm gonna punch Harry in the nose when I see him', " Wahlberg said.
"I get jealous. If I see that little guy. He's gonna get it."
The actor said he wanted to arrange a meeting so that his daughters could meet their favourite stars soon.