Measurement of differential cross section for Z boson production at Dzero

The Tevatron has delivered more than 1/fb of proton-antiproton data with a center of mass energy of 1.96 TeV to the collider experiments.~Using events containing two high $p_T $ electrons with $\left| \eta \right|<1$, we show results of a preliminary measurement of the Z boson cross section and the differential distribution $d\sigma (Z\to e^+e^-)/dp_T $ using the full data sample taken by the Dzero experiment before December 2005.