The present invention relates to a catheter device having a dilatation balloon formed from a polymeric material crosslinked by moisture through —Si—O—Si—linkages, and to a method of making the same. The polymeric material is formed by reacting at least one organofunctional hydrolyzable silane with at least one polymer. The crosslinked polymeric structure is ideal for forming more resilient and durable catheter balloons. In particular, the catheter balloons have excellent abrasion resistance.