A process for obtaining a composite material comprising at least one polymer matrix obtained by polymerization of a monomer referred to as a “monomer of interest” into a polymer, referred to as a “polymer of interest”, in the presence of carbon nanotubes homogeneously dispersed in said polymer matrix, said process comprising:
- using said carbon nanotubes as catalysis support to bind homogeneously at the surface thereof a cocatalyst/catalyst couple so as to form a catalytic system;
- activating said catalytic system for polymerization;
- polymerizing said monomer at the surface of the carbon nanotubes using said active catalytic system, the polymerization being allowed to progress over time so as thus to obtain said polymer matrix around said carbon nanotubes, as the polymerization of said monomer proceeds.