Though Cu2ZnSnS4 (CZTS) is a promising material for thin film solar cells, a significant challenge remains in understanding the structures being formed, particularly in non-stoichiometric materials. We use the extended x-ray absorption fine structure (EXAFS) technique to study the local structure and stoichiometry of as-made, Cu-deficient, CZTS nanoparticles and present K edge data and fits about each of the cations (Cu, Zn, Sn). The data show that all the metal-S (M-S) pairs have the bond lengths of the kesterite structure within 0.02Å, and the pair distribution function is very narrow (σ ∼ 0.07Å). This precludes significant fractions of other phases with different M-S bondlengths. The data also reveal some Sn second neighbors about Sn whereas there are none in the stoichiometric kesterite (or stannite) structure. Consequently, Sn antisite defects must be present on Cu or Zn sites; this is not surprising since there is some excess of Sn. More importantly, the second neighbor Sn-Sn distance is significantly longer than other M-M distances and the antisite Sn defects must therefore introduce significant disorder within the Cu and Zn sub-lattices. The largest distortions are found about Cu and are modeled using a strongly broadened (or split) peak distribution for the Cu-Cu/Zn pairs. We also find that excess Zn does not go onto Cu sites but rather onto Sn sites. The samples are best described as a kesterite structure with significant antisite disorder.