Aneuploidy, a state in which cells exhibit copy number changes of (parts of) chromosomes, is a hallmark of cancer cells and, when present in all cells, leads to miscarriages and congenital disorders, such as Down syndrome. In addition to these well-known roles of aneuploidy, chromosome copy number changes have also been reported in some studies to occur in neurons in healthy human brain and possibly even more in Alzheimer's disease (AD). However, the studies of aneuploidy in the human brain are currently under debate as earlier indings, mostly based on in situ hybridization approaches, could not be reproduced by more recent single cell sequencing studies with a much higher resolution. Here, we review the various studies on the occurrence of aneuploidy in brain cells from normal individuals and Alzheimer's patients. We discuss possible mechanisms for the origin of aneuploidy and the pros and cons of diferent techniques used to study aneuploidy in the brain, and we provide a future perspective.