The AIMIM chief's statement at an election rally in Uttar Pradesh comes amid ongoing controversy over wearing hijab at educational institutions in Karnataka.
The AIMIM chief said four rounds were fired at his car on a national highway.
The Samajwadi Party and Congress have accused Owaisi, who has been a spoiler in recent Lok Sabha and assembly elections, of fielding candidates to split the anti-BJP votes.
The incident happened at around 4 p.m. when members of Hindu Sena were staging a protest outside Owaisi's house, located adjacent to the Election Commission headquarters on the Ashoka Road.
Speaking at an election rally of Bharatiya Janata Party (BJP) earlier in the day at Tandur, Adityanath had said that if his party comes to power in Telangana, Owaisi will flee the way Nizam had to flee Hyderabad.