The Football Association charged the Manchester United forward after he was caught on camera knocking a phone out of a fan's hand.
There is a video on social media that shows him smashing the device as he left the pitch after a loss.
The man apologized on social media.
In August, he was cautioned by police.
The FA stated that the forward's conduct after the final whistle was improper and violent.
In his response to the charge, Manchester United will supportRonaldo.
The loss at Goodison dealt a blow to United's chances of making the group stages. They finished in the top six.
In an Instagram post after the incident, Ronaldo said it was "never easy to deal with emotions in difficult moments such as the one we are facing".
We have to be respectful, patient and set the example for all the young people who love the game.
I would like to apologize and invite this supporter to watch a game at Old Manchester as a sign of fair play and sportsmanship.