The Fermilab Muon g-2 experiment goal is to measure the muon anomalous magnetic moment $a_\mu$ with high precision thus allowing for a precise check of the Standard Model prediction.
The first publication of April 2021 has reported a value of $a_\mu({\rm FNAL}) = 116\,592\,040(54) \times 10^{-11} ~ (\text{0.46 ppm}) $ which, combined with the previous experimental result from the BNL experiment and together with recent improvements on the theory front, resulted in a discrepancy of $ (251 \pm 59)\times
10^{-11}$ with the theoretical prediction, corresponding to $4.2 ~\sigma$.
Recent theoretical calculations based on lattice approach, have, however modified the scenario with a prediction which is closer to the experimental value than the previous one.
It is, therefore, important to confirm the central value and reduce the error on the experimental side in order for the theory to have a clear point with which to compare the calculation.
This note presents the first results, the current status and the future prospects of the Muon g-2 experiment at Fermilab.