This paper represents results of the development of the non-contention-based microfluidic counting trigger. The results include the schematic diagram, the multi-dimensional network model (MNM), the 3D-model, and the test model. One of the main features is that the operating is not based on synchronization of the scheme by means of matching the control-channel time constants. Instead, the project follows principles of the logic control. This feature results in improved stability of the performances and in reduced dependency of the technological accuracies.