The amorphous reduction product of the oxide ion conductor LaMoO was previously shown to be a good, sulphur-tolerant, anode material for solid oxide fuel cell devices (X. C. Lu, J. H. Zhu, J. Electrochem. Soc., 2008, 155(10), B1053). In this paper, we study the local order of amorphous LaMoO using X-ray absorption spectroscopy analyses and electronic paramagnetic resonance. The extended X-ray absorption fine structure analysis of local arrangements around Mo in LaMoO is first carried out on the basis of strong distortions from three crystalline models of LaMoO, LaMoO and LaMoO. The extended X-ray absorption fits obtained from both LaMoO and LaMoO yield similar atomic arrangements in the amorphous phase, upon large atomic displacements. However it is also possible to fit the spectrum using the paths of LaMoO, in better agreement with EPR results suggesting the presence of Mo-Mo pairs. Simpler arrangements, built from theoretical single scattering paths, are considered. All models are discussed and compared. A most probable short range structure around Mo in this amorphous phase is proposed. It both fulfills EPR results and appears coherent with the presence of ionic conductivity.