This study is aimed to search for the brain electric signature under the resting condition of spinocerebellar degeneration (SCD) patients and to assess the relation between cerebellum and cognitive function without the motor factor. We studied 12 SCD patients and 12 aged normal sex matched controls (NC). We recorded spontaneous eyes-closed resting EEGs to 20 locations of the international 10/20 system. Twenty artifact-free EEG epochs, consisting of 2 s were selected for each subject and filtered into seven frequency bands. The gravity center was calculated and the mean vector was compared between the two groups using unpaired t-tests. Low Resolution Electromagnetic Tomography (LORETA) was used to compute the three-dimensional intracerebral distribution of electric activity for each EEG band. The images of two groups were then statistically compared using nonparametric randomization tests, with correction for multiple testing. The vector analysis between SCD and NC revealed significant differences in alpha2 and beta2. In the LORETA analysis, SCD showed stronger activation in the delta band in the cingulate gyrus and decreased activation in the alpha1 band in the superior frontal gyrus. The present results suggested that the frontal and limbic lobes are inhibited in SCD patients under resting condition. The findings supported that the cerebellum was involved in cognitive function regardless of motor adjunct.