Bhagwat made these comments during a meeting of diplomats.
Sources said Bhagwat also asserted that he had "good relation" with the Prime Minister Narendra Modi and they discuss a wide range of issues.
On Tuesday, the organisation said that they do not support trolling and aggressive behaviour on the net as it amounts to "hitting below the belt".
He was speaking at an interactive session here with foreign diplomats from more than 50 missions.
"Trolling amounts to hitting below the belt. We do not support those who display such aggressive nature. We do not support trolling and aggressive behaviour on the net," Bhagwat was quoted in a series of tweets posted by Prasar Bharti Chairman A Surya Prakash who was present at the event.