The Wechsler Adult intelligence scale-Revised (WAIS-R) Block design test (BDT) is a neuropsychological test widely used to assess cognitive declines in aging population. Previous studies suggest parietal lobe is the key region to influence the performance on the BDT; yet, it has not been clearly identified. The aim of the current study, therefore, is to identify the functional neural correlates of the BDT in older adults with mild cognitive impairment (MCI) and Alzheimer’s disease (AD) dementia patients. The current study includes 213 cognitively impaired mid to old-aged community dwelling Korean. All participants underwent comprehensive clinical and neuropsychological assessments and 18F-fluorodeoxyglucose (FDG) Positron Emission Tomography (PET) scans. Performance on the BDT was assessed using the WAIS-IV Korean version. Voxel-wise analyses were used to investigate the correlation between regional cerebral glucose metabolism and BDT performance. The same analyses were conducted on the subgroups categorized by clinical severity based on the Clinical Dementia Rating (CDR). Significant positive correlations between performance on the BDT and regional cerebral glucose metabolism were found bilaterally in the inferior parietal lobules, right thalamus and right middle frontal gyrus. Our results suggest that performance on the BDT in MCI and AD patients functionally relies on the brain regions known to be associated with motor and executive functions in addition to visuospatial function.