The Forest boss has also insisted the striker will not be fined over the incident which sparked a brawl.
Davies claims it was Derby's players who provoked the post-match melee involving both sets of players and coaching staff.
The Football Association is expected to charge both clubs this week with failing to control their players and issue Tyson with a separate misconduct charge after he ran past the 4,376 visiting Derby fans waving a corner flag bearing the Forest emblem following the Reds' 3-2 win at the City Ground.
But Davies has reviewed the incident on video and is adamant that Tyson was guilty of no more than over-exuberance.
"Nathan will absolutely not be fined, in my opinion he has done nothing wrong," Davies told The Guardian. "The flashpoint came from the Derby players and their coaching staff. If he had been left alone to celebrate, nothing would have happened.
"I would never condone Tyson if he was trying to inflame the situation but I simply feel he was celebrating a win over our bitter rivals. There were Forest fans in the upper tier of the stand where Derby's fans were sat and Tyson was looking at them."