The ensuing clash saw three players booked and both managers sent to the stands for the final few minutes of the match.
"What the players delivered after such an intense game on Thursday was fantastic".
"If someone else goes against those values then it's wrong".
"I thought that would happen towards the end, but we never seemed to be able to break their lines", he added.
"When I don't see that I feel upon myself to make sure that's put right".
"For me, celebrating with my players is not disrespectful but perhaps it is in British football culture".
"It isn't something that I usually do [but] if there was a moment where this could happen, then it was this moment".
Wagner set off to celebrate with his players and on the way back was involved in a confontation with Leeds boss Garry Monk, barging into the Whites boss. But this was not possible at this time.
Chelsea loanee Izzy Brown scored with his first touch after coming on as a substitute to give Huddersfield a 27th-minute lead before Chris Wood equalised with his 21st goal of the season.
Nevertheless, Garry Monk's side are well placed for the promotion run-in and remain established in the play-off positions, eight points clear of Norwich in seventh position. Kyle Bartley headed down a cross for the striker who reacted quickly to poke the ball past keeper Danny Ward and finish.
The German defender prodded home in the 89th minute after Aaron Mooy's shot deflected into his path.
On the game, Wagner said: "It was a fantastic performance and everybody has a big smile on his face".
"In the second half we were outstanding and we created more big opportunities".
"I am very disappointed to lose a derby game against a close competitor but the game is about fine margins".