JVS Rama Rao, an advocate, had filed the petition. He claimed that the circulation of the alleged hate speeches over YouTube might create law and order problems.
The petitioner said the speeches were highly inflammatory and hurt the sentiments of the Hindu community.
Akbaruddin Owaisi, a member of the Andhra Pradesh assembly, was arrested Tuesday by the police for having made hate speeches at Nirmal town in Adilabad district.
A court in Nirmal sent him to judicial custody for 14 days.