The process for monitoring the curing reaction of a polymeric matrix, in which carbon nanotubes are dispersed whereby a composite material is formed, provides for: arranging an electric circuit comprising at least a generator of a substantially constant voltage, an amperemeter and two electrodes immersed into the composite material, whereby the composite material interposed between the electrodes closes the electrical circuit, and tracing the current intensity value measured by the amperemeter, which is correlated to the progress of the curing reaction of the polymeric matrix, so as to control said progress.