In the course of acoustic-gravity wave (AGW) propagation, a coupling relation between the ozone density oscillations (ODO) and temperature fluctuations (TF) in the lower ther-mosphere is presented. The physical essences of the relation mentioned are analyzed and a criterion is suggested that positive or negative coupling relation is mainly dependent upon the scales of the dynamical perturbations. On a small and medium AGW scale, the coupling relation between ODOand TFis always positive, and the amplitude of coupling relation can be or exceed 7; on the large AGW scale or planetary-wave scale, the coupling relation becomes negative. This finding may explain the important facts in observations that the ozone density and temperature in the upper mesosphere and lower thermosphere appear to be in fast variations and the zonal mean values of ozone density over a long time are often in opposite phase relative to the temperature fluctuations. Afurther comparison indicates, there is no obvious difference between the influences on the criterion by using linear or nonlinear AGW theories.