The invention relates to an antitumor composition based on hydrophobized hyaluronan and inorganic nanoparticles stabilized by oleic acid. The hydrophobized hyaluronan in the form of an acylated hyaluronan serves in the composition as a carrier of inorganic nanoparticles. Out of the group of inorganic nanoparticles, the composition may comprise superparamagnetic nanoparticles, nanoparticles of ZnO and moreover, upconversion nanoparticles. Said composition is selectively cytotoxic with respect to both suspension and adherent tumor cell lines, especially with respect to tumor cell lines of colorectum carcinoma and adenocarcinoma, lung carcinoma, hepatocellular carcinoma and breast adenocarcinoma. The highest cytotoxic effects were observed in case of the composition based on an oleyl derivative of hyaluronan with SPIONs. The composition of acylated hyaluronan with SPIONs may also be advantageously used for an in vivo detection of accumulation of the composition in the body, preferably in a tumor or in liver. Said composition is sterilizable in the final package.