Abstract: The present invention relates to a method for eliminating cancer cells, wherein said cells comprise a genomic rearrangement which leads either to the expression of a fusion gene not present in non-cancer cells, or to genomic amplifications or rearrangements which lead to the induction of the expression or to the overexpression of a cancer inducing gene, said method comprising: (a) cleaving the genome in at least two sites, said cleavage leading to either a deletion, an inversion, a frameshift, the cleavage without repair and/or an insertion in the genome of said cancer cells, and/or (b) cleaving the expression product of said fusion gene or cancer inducing gene in at least one site.