For some nuclear reactors installed on automobiles,boats or deep sea vehicles,it is an impor-tant way to investigate their system safety by performing natural circulation experiments under motion condi-tion.This paper studied the natural circulation on moving plants based on work of static natural circulation scaling method.With rigid motion theory,acceleration at each point was obtained on primary system and introduced to momentum equation.Thus a set of motion similar criteria were obtained.Furthermore,equal and unequal height simulation were analyzed.As to the unequal one,non isochronous simulation was needed for displacement and angular acceleration.