The centrosomes are subcellular organelles composed of two centrioles surrounded by a pericentriolar material. In animal cells they are responsible for the organization of the interphase microtubule cytoskeleton including microtubule nucleation and elongation, their attachment and release. The centrosomes are also involved in the construction of the mitotic spindle and chromosome segregation. More than a century ago it was suggested that these structures might be involved in human diseases, including cancer. Cancer cells show a high frequency of centrosome aberrations, especially amplification. Centrosome defects may increase the incidence of multipolar mitoses that lead to chromosomal segregation abnormalities and aneuploidy, which is the predominant type of genomic instability found in human solid tumors. The number of these organelles in cells is strictly controlled and is dependent on the proper process of centrosome duplication. Multiple genes that are frequently found mutated in cancers encode proteins which participate in the regulation of centrosome duplication and the numeral integrity of centrosomes. In recent years there has been growing interest in the potential participation of centrosomes in the process of carcinogenesis, especially because centrosome abnormalities are observed in premalignant stages of cancer development. The common presence of abnormal centrosomes in cancer cells and the role these organelles play in the cells suggest that the factors controlling the number of centrosomes may be potential targets for cancer therapy.