Nearly three-quarters of respondents in the poll published by the Maariv newspaper today said they thought the agreement would accelerate Iran's development of a nuclear weapon, not prevent it as claimed by the powers.
Asked "Do you support independent military action by Israel against Iran if such action is needed to prevent Iran from obtaining a nuclear weapon?" 47 per cent said yes, 35 per cent said no and 18 per cent expressed no opinion.
The paper did not give a sample size or margin of error for the poll carried out by Panels Politics Polling Institute.
Israel has long opposed any deal with its arch-foe Iran, and Prime Minister Benjamin Netanyahu has lambasted the landmark agreement as a "historic mistake".
Also Read
He has repeatedly threatened to take military action if necessary to prevent Iran obtaining a nuclear weapon.
Netanyahu says Israel is not bound by the deal between Iran and the six world powers and on Wednesday he said the agreement was "not the end of the story".
Iran has always denied any ambition to acquire one, insisting its nuclear programme is for peaceful energy and medical purposes only.