The Hyderabad MP also said there was no need for Muslims to be scared over BJP retaining power at the Centre with over 300 seats in Lok Sabha.
Owaisi was addressing 'Jalsa Youmul Quran' at the historic Mecca Masjid here on the occasion of 'Jumatul Vida' or last Friday of holy month of Ramadan.
The All India Majlis-e-Ittehadul Muslimeen (AIMIM) chief said winning over 300 seats did not mean Prime Minister Narendra Modi can do whatever he likes or snatch the Constitutional rights of the minorities.
"Muslims are hissedaar (shareholder) and not kirayedaar (tenants) in India. They are equal citizens of this country and they can't be denied the rights guaranteed to them by the Constitution," he said.
Owaisi, who was re-elected from Hyderabad for a fourth consecutive term, said his party would continue to fight for the due share and rights of Muslims, Dalits and other oppressed people.
Stressing the need for unity among Muslims and the need to carry Dalits along, Owaisi pointed out that by joining hands with his "elder brother" Prakash Ambedkar in Maharashtra, the AIMIM won the Aurangabad Lok Sabha seat.
Owaisi said Muslims need not get scared by the victory of BJP as the Constitution of India remained supreme and it make no difference who was in power.
The AIMIM leader said the series of incidents of beating up of Muslims in the name of cow or wearing skull cap during last few were aimed to creating fear among Muslims. He said that the history shows Muslims never gave up their belief and identity even in the face of worst excesses.
( With inputs from IANS )