When asked "should Israel alone attack the Iranian nuclear installations," 67.2 percent said no, while 20.9 percent said yes and 11.9 percent had no opinion, said the survey aired on public radio.
The poll questioned people after the publication of a bombshell intelligence report in the United States earlier in the week, which said Tehran had frozen its atomic weapons programme in 2003.
Israel has vowed to keep up its diplomatic offensive against Iran's contested nuclear programme despite the report, saying it believes Tehran has probably restarted an atomic weapons programme.
Widely thought to be the Middle East's sole if undeclared nuclear power, Israel considers Iran its top enemy following repeated statements by President Mahmoud Ahmadinejad for the Jewish state to be wiped off the map.
Thursday's poll was carried out by Shivuk Panorama marketing group, questioning 562 people, and had a 4.5-percentage point margin of error.
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