Dynamic and static light-scattering experiments in combination with light microscopy have been performed on solutions of the highly charged polyelectrolyte sodium poly(styrenesulfonate) at low ionic strength. A double-exponential correlation function was found, and the reciprocal normalized scattering intensity shows a strong angular dependence, indicating the existence of polyelectrolyte aggregates. Light microscopy shows directly the existence of these aggregates. The dimensions of these aggregates increase with increasing polyelectrolyte concentration and increasing molar mass.