The possibility of generation of long-term activity in the stochastic uniform networks consisting of neuron-like threshold elements was analyzed by the mathematical simulation model. It was shown that the long-term (hundreds of milliseconds) self-stopping activity in the networks with a positive feed-back between units can be generated. Termination of the activity was based on the following factors: 1) stochastic properties of network processes which determine the fluctuations of the activity level; 2) neuronal interaction leading either to synchronization of neuronal discharges and respectively to postactivation inhibitory processes, or to reconstruction of the microstructure of the neuronal network activity when weak-connected neurons are predominantly excited. Basing on the data obtained possible participation of the mechanism involved in formation of the long-term self-stopping activity of interneuronal networks of the spinal cord realizing different types of programmed rhythmical activity (generators) is discussed.