The d'Alembert principle and the differential equations of motion of relati
vistic rotational variable mass system are given. By using the-invariance o
f the differential equations under the infinitesimal transformations, the d
etermining equations of the Lie symmetries of relativistic rotational varia
ble mass system are built, and the structure equation and the conserved qua
ntities of the Lie symmetries are obtained. An example is given to illustra
te the application of the result.