We consider a network with unreliable communication channels and perfectly reliable nodes. The diameter constrained reliability for such a network is defined as a probability that a set of terminals of a network are linked by operational paths with number of included edges less or equal to given integer. The problem of computing this characteristic is known to be NP-hard, just like the problem of computing the probability of a network connectivity. We propose a new method that allows using node cuts to compute the reliability of a two-terminal network with diameter constraints, which makes the computations faster.