Abstract: In this paper，the relation between the von Mises equivalent stress at the concerned point and the root mean square of the excitation acceleration on the transport package under triaxial random vibration excitation is derived. The equivalence between the stress fatigue curve（σ-N curve）at the concerned point and the vibration fatigue curve（Grms-T curve）of the transport package is certificated. For the two types of damage and fatigue models commonly used in engineering，that is，the Basquin type（power function type）and the exponential function，the corresponding Grms-T equations are obtained. The time compression ratio of accelerated random vibration test for transport package is given based on the Grms-T curve，and its validity is verified by the finite element analysis of product model. As the acceleration is easy to analysis and measurement，the accelerated random vibration test technology for transport package based on the Grms-T curve has application and development potential for further researches.