A search for Lorentz- and CPT-violating signals in the double beta decay spectrum of Xe-136 has been performed using an exposure of 100 kg . yr with the EXO-200 detector. No significant evidence of the spectral modification due to isotropic Lorentz -violation was found, and a two-sided limit of -2.65 x 10(-5) GeV < (a)(of),(,3r) < 7.60 x 10(-6) GeV (90% C.L.) is placed on the relevant coefficient within the Standard -Model Extension (SME). This is the first experimental study of the effect of the SME-defined oscillation -free and momentum-independent neutrino coupling operator on the double beta decay process.