The Muon g-2 experiment at Fermilab aims to measure the muon anomalous magnetic moment, $a_{\mu}$, with a final precision of 140 part per billions (ppb). The first results from the Run-1 dataset were released on April 7, 2021, showing a very good agreement with the previous experimental result at Brookhaven National Laboratory (BNL) \cite{result}. In light of the new theoretical calculation of the hadron vacuum polarization contribution of $a_{\mu}$ by the BMW group using the Lattice QCD, a strong tension arose within the theoretical side. Here we discuss this high precision measurement and the current work towards a new result, Run-2/3 analysis, on the muon anomaly that aims to reach a statistical uncertainty of 200 ppb and a systematic uncertainty of 70 ppb. Furthermore, a brief overview of other muon experiments will be given.