Saudi Arabia proposed what it described as a new peace offering on Monday to end the kingdom’s nearly six-year-old war on the insurgency in neighboring Yemen, pledging to lift an air-and-sea blockade if the Houthi rebels agree to a cease-fire.

The offering, announced by Saudi Arabia’s foreign minister in Riyadh, the Saudi capital, came as pressure has escalated on the country to help break a stalemate in the Yemen conflict, which the United Nations has called the world’s worst man-made humanitarian disaster.

Millions of Yemenis, including children, are verging on famine partly because of the blockade, which has choked the delivery of food and fuel to the country, the Arab world’s poorest.

The Saudi foreign minister, Prince Faisal bin Farhan Al Saud, was quoted by Arab news media as saying that if the Houthis agreed to a cease-fire, the country would allow the reopening of the airport in Sana, the Yemeni capital, and would permit fuel and food imports through Hudaydah, a major Yemeni seaport. Both are controlled by the Houthis.