Iranian Foreign Minister Manouchehr Mottaki has warned against foreign intervention in the conflict between the Yemeni government and rebels.
Unidentified parties were adding fuel to the crisis, and attempts to help or to take military action would have negative consequences, Mr Mottaki said.
Correspondents say his comments appear to have been intended for Saudi Arabia.
Shortly afterwards, Riyadh promised it would continue air strikes until the rebels moved back from its border.
"We are not going to stop the bombing until [they] retreat tens of kilometres inside [the Yemeni] border," Deputy Defence Minister Prince Khaled Bin Sultan said, according to the AFP news agency.
Saudi forces launched a ground and air offensive on the rebels, known as the Houthis, after a security officer was killed in a cross-border raid by the group in its south-western Jizan region.
The Houthis meanwhile said on their website that Saudi fighter jets had bombed villages on the Yemeni side of the frontier on Tuesday, killing two women and wounding a child.
Strikes also targeted a government building in the village of Shida, they said.
'Be careful'
In Tehran on Tuesday, Mr Mottaki was asked about Yemeni allegations that Iranian religious and media organisations were backing the rebels, who want more autonomy and a greater role for their version of Shia Islam, Zaydism.
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11:17 PM
Moderate Islamist here
