The announcement was made via the restaurant's Facebook page.
KHOU in Houston reported the new policy was decided on over the weekend.
Aquiles Chavez, a Mexican reality television star and executive chef at La Fisheria, told KHOU the decision was a "tough" one.
“We find children that are crying, some kids running under tables, and our customers don’t like,” Chavez said. “Seven o’clock is not a time for children, especially when we serve drinks and wine.”
He said a lot of customer feedback has been positive and the majority of the Facebook comments support that.
