  The Standard Model is a theory that accurately predicts the interactions of
fundamental particles. However, in recent years, certain phenomena have arisen
that cannot be explained by this theory. One particular challenge is the
anomalous magnetic moment of the muon. Various theories have been proposed in
the Beyond Standard Model, with the aim of addressing these anomalies. One such
theory is the Noncommutative Space-Time, which places importance on the
noncommutative parameter ($\theta ^{\mu \nu}$). Different values for this
parameter have been explored in various articles. However, in this particular
article, we utilize the most precise values of $ (240 \, TeV)^{-2}$ for muons
and $(3000 \, TeV)^{-2}$ for electrons, in order to align our findings more
closely with reality. The tree level diagram for the muon in the Seiberg-Witten
map has not yet been calculated. However, we have performed this calculation
and predict the anomalous magnetic moment of the muon to be approximately
$10^{-10}$. The Noncommutative Space-Time theory yields accurate results in
both high energy and low energy physics. Furthermore, the predicted electric
dipole moment for the muon and electron, using the parameters outlined in this
study are about $10^{-24}$ e.cm for the muon and $10^{-34}$ e.cm for the
electron.
