Abstract: In this paper a kind of gold bonding wires(GBW) is studied．At first，the mathematical function which describes the shape of GBW is obtained by polynomial fit of the data point derived from the measuring microscope．Then GBW is modeled in ANSYS using the beam element．The modal analysis shows that the first order nature frequency of GBW is 4 923 Hz，So there is no resonance below 2 000 Hz，where vibration energy of avionics concentrates on．Moreover，Z direction is determined as the weakest action direction of GBW．In the end，it is concluded that GBW will not be damaged by the random vibration load mentioned in this paper from the results of damage analysis．