"Unless Iran thinks it is suddenly become part of Yemen, we are not at war with Iran," he said at a press conference with his French counterpart Laurent Fabius.
But he also called on Tehran not to "assist the criminal activities" of the Huthi rebels "against the legitimate order of Yemen and (to) stop the delivery of weapons and aid" to the militiamen.
Fabius, who met with King Salman and other top Saudi officials during a visit to Riyadh, said France was ready to work on resolving the crisis in Yemen.
Saudi Arabia is leading a coalition of several Arab countries which since March 26 has carried out air strikes against the Huthis, who overran the capital Sanaa in September and have expanded to other parts of Yemen.
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Riyadh fears the rebels would take over the entire country and move it into the orbit of Iran, Sunni Saudi Arabia's regional rival.
Saud said the kingdom intervened at the request of President Abedrabbo Mansour Hadi, who fled the Huthi advance for Riyadh.
Iran has rejected accusations of arming the rebels and its supreme leader Ayatollah Ali Khamenei has described the coalition's efforts as "criminal acts".