The coalition closed all air, land and sea access to Yemen earlier this month following the interception of a missile fired toward the Saudi capital.
It said it had to stem the flow of arms to the Houthis from Iran, seen by Riyadh as the movements main backers.
The port of Hodeidah will be reopened to receive food aid and humanitarian relief, and Sanaa airport will be open for UN flights with humanitarian relief, a statement from carried by the Saudi state news agency SPA said.
It added the decision would take effect from Nov. 23.
The coalition allowed the resumption of international commercial flights and opened Aden port last week, but it said the main aid route into the country (Hodeidah) would stay closed until it was satisfied its Houthi opponents could not use it to bring in weapons.
The Houthis, drawn mainly from Yemens Zaidi minority and allied to long-serving former President Ali Abdullah Saleh, control much of the country including the capital Sanaa.
Saudi Arabia and its allies have been waging war against them on behalf of the government of President...