We study the M{o}ller and Bhabha scattering in the noncommutative extension of the standard model(SM) using the Seiberg-Witten maps of this to first order of the noncommutative parameter $theta_{mu u}$. We look at the angular distribution $dsigma/dOmega$ to explore the noncommutativity of space-time at around $Lambda_{NC} sim$ TeV and find that the distribution deviates significantly from the one obtained from the commutative version of the standard model.