Cerebral infarct (CI) is a common disease of older adults, which increases the risk for cognitive impairment or dementia. CI-associated mild cognitive impairment is a potential prodromal stage of serious cognitive impairment. The grand total EEG (GTE) score is a rating scale for clinical electroencephalography (EEG) analyses, which is useful in the evaluation of different types of cognitive impairment. Sixty-five patients with CI underwent neuropsychological testing and resting state EEG. Spearman rank correlation analysis was used to investigate the relationship between a short version of the GTE score and severity of cognitive impairment in CI. Significant correlations with deteriorating cognition (combined Montreal Cognitive Assessment/clock drawing test) were found for the overall short GTE score (Spearman rank correlation, p = -0.61, r = -0.88491, P = 0.009) and for the subscore "Frequency of Rhythmic Background Activity" (p = -0.63, r = -0.92559, P = 0.007). In conclusion, the GTE short score and Frequency of Rhythmic Background Activity were increased with the deteriorating cognitive impairment in patients with CI.