It came just weeks after the queue-gate controversy, where Willoughby and Schofield had been accused of jumping the queue at the Queen's lying in state when they joined a media accredited line instead.
Loose Women were also up for the award, but they appeared to be unimpressed by their ITV co-stars' win as Kaye Adams did a slow clap while others including Robson did not clap at all.
Robson told The Sun: "There is no issue between me, Holly and Phil. We just showed that we were disappointed that we lost, and we are allowed to be disappointed.
"It wasn’t that we didn’t clap, we were just going ‘oh no, not again, we haven’t won this year’. It wasn’t deliberately not clapping them; we were just sad for us."
The Birds of a Feather star continued that there was "no feud at all", saying that they see Willoughby and Schofield all the time as they film at the same studios and Loose Women directly follows This Morning in the schedules.
On the subject of the boos, Robson added: "I felt sorry for the reception that they got, I really did. They just didn’t get the reception that I thought they should."
However, she did say that she felt Alison Hammond should have won the best presenter award instead of Ant and Dec, who were given it for the 21st time.
Robson revealed that Loose Women were keen to sign Hammond up as a panellist for their chat show, but that she wasn't allowed to do it because of her commitments hosting on This Morning.
Watch: Holly and Phil booed by crowd at NTAs after queue-gate controversy