Alzheimer’s disease (AD) patients show abnormal cortical sources of resting state EEG rhythms, especially at delta (1–4 Hz) and alpha (8–13 Hz) bands. Here we hypothesized that this abnormality is correlated to impaired brain metabolism as a sign of AD neurodegeneration. Eyes-closed resting EEG data were recorded in 20 Alzheimer’s disease (AD), and in 35 healthy elderly (Nold) subjects. FDG-Positron Emission Tomography (PET) was only recorded in the AD patients. EEG cortical sources and a standard index of cortical hypometabolism (PALZ) were computed (PALZ includes temporal and parietal association cortices and some lateral prefrontal areas). Compared to the Nold subjects, the AD patients showed abnormal widespread cortical sources of delta (1–4 Hz) and alpha (8–10 Hz) rhythms (p < 0.05). Noteworthy, there was a positive correlation in AD patients between global delta sources and PALZ values (p < 0.05). Abnormal cortical sources of delta rhythms are correlated to cortical hypometabolism in AD patients. Cortical sources of resting state delta rhythms in AD patients reflect AD neurodegeneration processes.