At a function here, Dr Abdullah said while two locations have been shortlisted in Srinagar, the JKCA has identified one place in Jammu.
In Srinagar, the stadium would either be constructed at Haft Chinar near the Bakshi Stadium or at Humhama on the city outskirts.
In Jammu, the JKCA has zeroed in on Sidra on the city outskirts.
Dr Abdullah said the Association members will soon meet Jammu and Kashmir Chief Minister Ghulam Nabi Azad in this regard to finalise the exact locations for the construction of the stadiums.
He said both the stadiums would be of international standards.
The present Sher-i-Kashmir cricket stadium would be handed over to the academy for training of young boys.
Since 1983, only two one-day international matches have been played at the Sher-i-Kashmir cricket stadium here.
The first one-dayer was played between India and West Indies after Kapil Dev-led team shocked the Caribbeans to lift the 1983 World Cup played in England. The match was played on October 13, 1983 in which West Indies defeated India by 10 wickets.
In the second match played on the ground, Australia defeated India by three wickets on September 9, 1986.
Dr Abdullah hoped that once the world class cricket stadium were built, more and more international matches would be played in the state.