In a two-dimensional noncentrosymmetric Ising superconductor in the\nfluctuating regime under the action of a uniform external electromagnetic field\nthere emerge two contributions to the photogalvanic effect due to the trigonal\nwarping of the valleys. The first contribution stems from the current of the\nelectron gas in its normal state, while the second contribution is of\nAslamazov-Larkin nature: it originates from the presence of fluctuating Cooper\npairs when the ambient temperature approaches (from above) the temperature of\nsuperconducting transition in the sample. The way to lift the valley degeneracy\nis the application of a weak out-of-plane external magnetic field producing a\nZeeman effect. The Boltzmann equations approach for the electron gas in the\nnormal state and the time-dependent Ginzburg-Landau equations for the\nfluctuating Cooper pairs allow for the study of the photogalvanic current in\ntwo-dimensional transition metal dichalcogenide Ising superconductors.\n