Bugg had argued in a recent interview that One Direction's after-show antics should not earn them the label "rock stars".
"Calling them the new rock stars is a ridiculous statement. And people should stop making it," Bugg had said of the former X Factor group.
"Really buggs me that artists we're fans of ,flip on us in the press !" Horan replied on Twitter.
Tomlinson added soon after: "Hi @JakeBugg do you think slagging off boy bands makes you more indie?"
Really buggs me that artists we're fans of ,flip on us in the press !— Niall Horan (@NiallOfficial) February 22, 2013
Hi @jakebugg do you think slagging off boy bands makes you more indie ?— Louis Tomlinson (@Louis_Tomlinson) February 22, 2013
The 'Lightning Bolt' star previously claimed that One Direction would be forgotten when their young female fans grow up.
In his latest interview, he added that the group must know they are terrible.
Watch the video for One Direction's 'One Way or Another (Teenage Kicks)' below: