Hassan Almalsi, head of Huthi rebel "special forces", was killed two days earlier "during an infiltration attempt along with his squad at Najran", which borders Yemen, said the source yesterday who asked for anonymity.
He said Almalsi held the rank of rebel "major general".
The Huthis are allied with soldiers loyal to former president Ali Abdullah Saleh.
In late 2014 they seized Yemen's capital Sanaa before moving into other parts of the country.
More than 30 civilians have been killed in rebel bombardments of the Najran area since the coalition intervention began.
Riyadh faces mounting international scrutiny over civilian casualties in its Yemen air campaign.
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