The fluctuations of the director, the velocity and the temperature are investigatedviaquasistationary fluctuations theory [1], which has been applied to the linearized set of the nematodynamic equations near the threshold of the thermoconvective instability origin, when the nematic liquid crystal was subjected to temperature gradient. The densities of the spectral representation of the temperature, velocity and director fluctuations have been obtained. These results show a lorenzian behaviour of the mentioned variables near the threshold of the thermoconvection. The correlation functions dependence onz-component of wave vector in the constructed curves has been presented too.