It has been shown in this work that the concentration of nanotubes is a critical parameter determining the stability and composition of a solution. The kinetics of agglomeration of multiwalled carbon nanotubes dispersed in chloroform by means of sonication has been studied by the methods of optical spectroscopy and dynamic light scattering. It has been shown that such solutions can be stable for a long time at concentrations of nanotubes below 0.01 wt %.