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We propose an original test of Lorentz invariance in the interaction betweena particle spin and an electromagnetic field and report on a first measurementusing ultracold neutrons. We used a high sensitivity neutron electric dipolemoment (nEDM) spectrometer and searched for a direction dependence of a nEDMsignal leading to a modulation of its magnitude at periods of 12 and 24 hours.We constrain such a modulation to $d_{12} < 15 \times 10^{-25} \ e\,{\rm cm}$and $d_{24} < 10 \times 10^{-25} \ e\,{\rm cm}$ at 95~\% C.L. The resulttranslates into a limit on the energy scale for this type of Lorentz violationeffect at the level of ${\cal E}_{LV} > 10^{10}$~GeV.

New constraints on Lorentz invariance violation from the neutron electric dipole moment