The complaint was lodged with the TT Nagar police station by local social activist Abhinav Chakradhar yesterday.
Chakradhar, who runs an NGO in the city has charged the poet-turned politician for deriding deities and hurting the religious beliefs of Hindus and Muslims in Mushairas and Kavi Sammelans held in the state and across the country.
The complainant said that his grievance has nothing to do with Kumar Vishwas being an AAP member.
"Making fun of politicians and celebrities was acceptable but Kumar Vishwas has crossed the line and was hurting religious beliefs," he alleged.
Chakradhar has also submitted a video footage of various programmes in which Kumar Vishwas featured in many cities including Bhopal, in support of his charges.