The country's defence minister Ehud Barak and the foreign minister Avigdor Lieberman are said to be among those backing a pre-emptive strike to neutralise Iran's nuclear ambitions.
But a narrow majority of ministers currently oppose the move, which could trigger a wave of regional retaliation.
The debate over possible Israeli military action has reached fever pitch in recent days with newspaper leader columns discussing the benefits and dangers of hitting Iran.
Mr Lieberman responded to the reports of a push to gain cabinet approval by saying that "Iran poses the most dangerous threat to world order."
But he said Israel's military options should not be a matter for public discussion.
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