In this article we consider ReSuMe – a new supervised learning method for the Spiking Neural Networks. We present the results of experiments, which indicate that ReSuMe has the following properties: (1) it can learn temporal sequences of spikes and (2) model object’s I/O properties; (3) it is scalable and (4) computationally simple; (5) it is fast converging; (6) the method is independent on the used neuron models, for this reason it can be implemented in the networks with different neuron models and potentially also to the networks of biological neurons. All these properties make ReSuMe an attractive computational tool for the real-life applications such as modeling, identification and control of non-stationary, nonlinear objects, especially of the biological neural and neuro-muscular systems.