To measure the muon anomalous magnetic moment to 0.14 ppm, a fourfold improvement over the previous Brookhaven E821 experiment. The muon anomaly is a fundamental quantity, which can be precisely measured and accurately computed within the Standard Model and a comparison of experiment to theory is a sensitive test of the completeness of the theory. The current comparison to the accepted theory shows a deviation of more than 3 standard deviations, which might be an indication of New Physics beyond the Standard Model. We will use the Fermilab beam complex to prepare a custom muon beam that will be injected into the relocated muon storage ring. Our goal is a factor of 20 increase in statistics and a significant reduction in systematic uncertainties compared to the BNL experiment.