A hybrid network, which consists of the sections of communication lines with the transmission of signals of different physical nature on different transmission media, has been considered. Communication lines respond differently to threats, which allows to choose the line with the best performance for the transmission of information. The causal diagram of events that determine the state of the information transmission network, such as changes in emergency/accident-free time intervals, has been presented. The application scheme of the protection measures against dangerous events has been shown. To verify the measures, a matrix of their compliance with typical natural disasters has been developed and relevant examples have been given. It is suggested to evaluate the flexibility of the telecommunication network by its connectivity, characterized by the numbers of vertex and edge connectivity, the probability of connectivity. The presented scheme of the device for multi-channel information transmission in a hybrid network allows the choice for the transmission of information to the channel with the best performance. Using this device is the essence of the suggestion about increasing the flexibility of the network.