Vasudeva Nanayakkara, Minister of National Languages and Social Integration, said he would soon present a Cabinet paper which would seek to outlaw such groups.
"They want to shatter the communal and religious peace in the country. This should not be allowed," he said, adding that the Sri Lankan constitution has guaranteed the freedom of religion.
Bodu Bala Sena, a Buddhist nationalist group, is leading a campaign which they say targets the growing Muslim extremism in the country. Similarly, two other groups Sinhala Ravaya and Ravana Balaya are also running a parallel campaign.
Reacting to the minister's move, the BBS general secretary Galgodaatte Gnanasara said that Nanayakkara must work hard to give due place to the majority Sinhala language.
"That is his duty as the minister of languages. We advise him to stay without having to face a ban on him by us. He can't ban us," Gnanasara stressed.