Congress will have to green light the deal, but the USD 1.29 billion dollar sale is likely to go through, with Saudi jets in action against rebel forces in Yemen.
The Saudi-led operation against the Huthi militia in Yemen has proved controversial, amid frequent reports of civilian casualties on the ground.
But Washington has stood by its ally, which is also a key player in the US-led coalition fighting the Islamic State jihadist group further north in Iraq and Syria.
The order includes 5,200 Paveway II laser-guided bombs in their GBU-10 and GBU-12 variants, along with 1,100 of the more modern, longer range GBU-24 Paveway III.
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There are 12,000 general purpose bombs weighing between 500 and 2,000 pounds and 1,500 devastating 2,000-pound "bunker busters," the BLU-109 penetrator.
These are designed to smash hardened concrete structures.
In addition to the bombs themselves, the Saudis will receive thousands of "tail kits" to convert dumb munitions into satellite-guided smart bombs.
"Providing these defense articles supports Saudi Arabian defense missions and promotes stability in the region.