The invention relates to novel fluorescent derivatives of polyamines having a benzoxadiazole group, to a method for preparing the same and to the use thereof as diagnosis tools for emphasising the polyamine transport system in cancerous cells in order to adapt the treatment thereof, and thus for selecting patients carrying such tumours in order to adapt their treatment. The derivatives are of the formula (I) or a pharmaceutically acceptable salt thereof, in which: R1 is one or more NO2 groups in position 4 or 6, or a SO2Ph, SO2NMe2, SO2NH2 or SO3H group; R2 is hydrogen, C1-6 alkyl, benzyl, a perfluoroalkyl group; the values of a, b, c range from 2 to 5 independently from each other and represent alkylene chains separating the amino groups, and the values of d and e can independently be 0 or 1.