"Too much importance was given to this story but I should not have reacted like this. I always regret any signs of violence and I apologise for it," the Frenchman told French TV channel TF1.
Wenger blatantly shoved Mourinho in the chest midway through the first half after a heated exchange of views in Chelsea's 2-0 win on Oct. 5.
Also speaking to TF1, Mourinho said: "I will not say more. I have no words to explain what everybody else saw in those images."
Wenger initially said he had nothing to apologise for.