Ashwani Kumar Chrungoo, president of Panun Kashmir, an organisation representing displaced Kashmiri Pandits, said the laws were in "contravention of the fundamental rights guaranteed to the citizens of India under the Constitution".
"They should be abrogated...as soon as possible."
Article 370 grants special status to Jammu and Kashmir, while Article 35A empowers the state legislature to define permanent citizens.
"We would like to make it very clear that Article 370 and Article 35A have become an unnecessary baggage of the past," Chrungoo told reporters.
Several organisations representing the interests of the Kashmiri Pandits, including Kashmir Displaced Sikh Forum and Youth All India Kashmir Samaj, participated in the event.