Verstappen has been highly praised this season for getting the most out of his Honda Red Bull and outperforming his teammate, Pierre Gasly. He won the last Grand Prix in Austria with a stunning drive, recovering from a terrible first lap which saw him drop from second to seventh.
Horner said at this week's press conference that Verstappen was "the best driver in the world" but the Dutchman himself played down these comments but was happy to accept the compliment.
"It's nice when your boss says that," Verstappen said as quoted by Speedweek.
"But I myself do not think about it. There are not only Lewis out there, we have some outstanding riders in the field.
"And they can be dangerous to Lewis Hamilton."