The draw resonance theory published by one of the present authors, has been numerically restudied to confirm the correctness of the originally proposed kinematics(based on the concept of the waves traveling times)for the onset of draw resonance instability in melt spinning. It also has been found that the draw resonance criterion should include not only the two traveling times, i.e., the throughput wave traveling time and the fluid element travel-ing time(based on the threadline velocity), but also the phase difference(time difference)between the fluctuations of the threadline force and the threadline cross-sectional area. Using the simple model of Newtonian fluids into the revis-ed draw resonance criterion, we have got the value of 20.21, for γ_C(critical draw ratio at the onset of draw resonance), which is the same value obtained by other researchers who employed direct numerical simulation methods without the concept of kinematics of the traveling waves.