The coalition closed all air, land and sea ports to stem the flow of weapons to Houthi rebels in Yemen after an Iranian-supplied ballistic missile was launched at Riyadh from Houthi-held territory on November 4.
The coalition has intensified air strikes in Yemen since the Houthis fired a ballistic missile at the Saudi capital, Riyadh, a week ago.
A number of houses were also reportedly damaged in the strike.
The United Nations had warned the total blockade could cause starvation in the impoverished country where war has killed at least 10,000 people in the last 2-1/2 years and the United Nations Population Fund (UNFPA) expressed more concerns on Sunday.
Saudi Arabia fears that the rebels will give its Shi'Ite rival Iran a foothold in the Arabian Peninsula.
According to defenseworld.net, the announcement comes after Saudi air defense forces reported that they had intercepted a ballistic missile in midair that was sacked from Yemen over northern Riyadh.
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Despite the reopening of Wadea, however, and the allowing of limited ships into southern Aden port, United Nations officials say that the Saudi-led coalition is still blocking all of their aid deliveries into the country, continuing the siege.
Aid groups say 17 million people of Yemen's 27 million population suffer from food insecurity.
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.
The war in Yemen, the region's poorest country, started in 2014 after Houthi rebels seized control of Sanaa and began pushing south towards the country's third-biggest city Aden.
Since then, more than 10,000 people have been killed and at least 40,000 wounded, mostly from Saudi-led air strikes.