A special criterion termed a coefficient of tumor aggressiveness (A) has been developed. A appears to be helpful for an evaluation of post-operation recovery duration in patients after cancerectomy. It is determined in proportion of DNA concentration in tumor to that in nearby unaffected by malignancy tissue. For larynx malignancies, A has been varying in the range 1.585±0.435, the values 1.8–1.9 being the most favorable for long-term post-operation recovery. In the last case, the clones of autopolyploid cells were discovered. Meanwhile, aneuploidy coupled with nuclear DNA selective amplification characterized a tendency for rapid tumor recurrence.