The invention relates to a method of dispersing carbon nanotubes (CNTs) in a continuous phase, especially in at least one dispersion medium, the carbon nanotubes, especially without prior pretreatment, being dispersed in a continuous phase, especially in at least one dispersion medium, in the presence of at least one dispersant (dispersing agent), with introduction of an energy input sufficient for dispersing, and also to the dispersions that are obtainable in this way, and to their use. With the method of the invention it is possible for the carbon nanotubes (CNTs) to be dispersed in high concentrations and with high storage stability.