Omar urged everyone who came in contact with his father recently to get tested.
Abdullah had tested positive for coronavirus on March 30 after which he was admitted to a hospital as a precautionary measure.
The opposition Peoples' Democratic Party and Peoples' Conference targeted the ruling National Conference over the meeting, and accused it of surrendering to the Bharatiya Janata Party without even a pretence over the passage of the Waqf act.
Lieutenant Governor Manoj Sinha on Monday invited National Conference leader Omar Abdullah to take oath as first chief minister of the union territory of Jammu and Kashmir on October 16.
A chance meeting between Jammu and Kashmir Chief Minister Omar Abdullah and Union minister Kiren Rijiju at the Tulip Garden in Srinagar has sparked a political storm, with opposition parties accusing the National Conference of laying out a red carpet for the BJP leader in the aftermath of the Waqf Amendment Act. While NC sources termed the interaction as a purely coincidental encounter, opposition parties like the PDP and Peoples' Conference condemned the meeting, accusing the NC of surrendering to the BJP. The Waqf (Amendment) Bill, passed by Parliament last week, aims to streamline the management of Waqf properties with provisions to safeguard heritage sites and promote social welfare.