Positive dielectrophoresis can be used to create l aggregates of animal cells with 3D architectures. It is shown that the cells, when pulled together into an aggregate by positive dielectrophoresis in a low-conductivity iso-osmotic solution, adhere to each other. The adherence of the cells to each other is non-specific and increases in time, and after 10-15 min becomes strong enough to immobilize the cells in the aggregate, enabling the ac electric field to be released, and the iso-osmotic buffer to be replaced by growth or other media. Cell viability is maintained. The new method of immobilization significantly simplifies the construction of aggregates of animal cells by dielectrophoresis, and increases the utility, of dielectrophoresis in tissue engineering and related areas.