The Real Madrid star equalised after Jeremy Mathieu had put Barca in front, only for Luis Suarez to score a second half winner at Camp Nou.
Ronaldo celebrated his goal by gesturing towards the home fans to 'calm down' in a typically white-hot Clasico atmosphere.
He told supporters: "We have to be careful with provocative gestures by a player when he scores a goal or with any other provocation or conduct that could incite violence among spectators.
"It must be sanctioned, from a fine up to a suspension. We will look into it."
Real were reprimanded after their fans chanted insults about Messi in a game with Celta Vigo at the Santiago Bernabeu, while Barca fans poking fun at Ronaldo's infamous birthday party in the wake of his side's 4-0 defeat to Atletico Madrid also drew sanction.
