The properties to be acquired are located in Garfield County, Utah, Arizona and South Dakota.
The Shootaring Canyon Mill is located 48 miles south of Hanksville, and is one of the three licensed uranium mills in the US.
The acquisition is said to position Anfield among the very few uranium producers in the country.
Anfield CEO Corey Dias said: "Approval from CFIUS is another significant step forward for Anfield, moving us ever closer to closing the transaction with Uranium One.
"We are very pleased to have successfully cleared this hurdle, as it brings us closer to assembling our portfolio of complementary US uranium assets with production horizons, and look forward to making final arrangements to close the transaction."
CFIUS reviews mergers, acquisitions, and takeovers, which leads to a foreign control of an entity engaged in interstate commerce in the US.