"The battleships and oil tankers of the aggression and their movements will not be safe from the fire of Yemeni naval forces if they are directed by the senior leadership [to attack]", the Houthis' official media outlet Al Masirah said on its website, citing a military commander.
The United Nations and several humanitarian groups this week warned that millions could die in Yemen from starvation if the blockade, which includes relief aid, was not lifted.
The blockade came in response to a ballistic missile fired at the Saudi capital Riyadh by the Houthis two days earlier.
Saudi Arabia and its allies intervened in neighbouring Yemen in March 2015, with the stated aim of rolling back Huthi rebel gains and restoring the government of President Abdrabbuh Mansur Hadi to power. Today this was reported by Al Arabiya channel.
In an interview with Tasnim, Bakil al-Hamini referred to the tight air, land and sea blockade of Yemen and said, "The fact is that if it hadn't been for United Nations silence and U.S. support, Saudi Arabia would never have dared to impose (such) critical conditions on the people of Yemen".
Col. Aziz Rashed, a spokesman for rebel-allied forces, said Sunday that the missile intercepted by the Saudis near the capital Riyadh on November 4 was "Yemeni-produced".
On Thursday, the Houthis rejected the USA allegations, saying they built the missile themselves and fired it in response to coalition bombings that have killed civilians and the ongoing blockade.
The Yemeni government-held southern port of Aden reopened on Wednesday, but ports in Houthi-held areas are still closed.
The torpedo, nicknamed Al-Manbab, is reportedly capable of hitting enemy ships from far away, although the exact firing reach remains unknown.