In this paper

according to the random characteristic of pulse amplitude and time interval of two adjacent pules

we discuss simulation methods of nuclear signal statistical distribution.When energy randomness of nuclear random signal is simulated

the statistical distribution can be decomposed into uniform distribution

Gaussian distribution

exponential distribution

Poisson distribution

multinomial distribution etc

and can be realized by methods we proposed in this paper.Arbitrary energy distributed nuclear signal that cannot be decomposed easily can also be realized by the methods

and simulation effect is excellent.