In the researches of neuron pulse sequence, various irregular phenomena of pulses and other random pulse sequences, it will be attempted to estimate the probability distribution of intervals between pulses, or to observe the generation of pulse sequence under a certain probability distribution. In such cases, it will be often necessary to test that the distribution of inter-point intervals of random pulse sequence fits or not to the expected distribution. When the result of test is needed as soon as possible, on-line testing system is required. In this paper, such systems are proposed. They are able to test the goodness of fit to the distribution of the 0th order to the multiple order Markov process of random pulses.