Experimental data on the viscoelastic properties of filament yarns hitherto published cannot be directly used in an analysis of the mechanical behavior of a yarn which is being worked on a textile machine. This is because the experiments to which such data pertain have left out of consideration the hysteris effect of a yarn which is being worked on a textile machine. The authors have made experiments-taking the hysteris effect into consideration -to see how the tension of a running yarn is affected by external forces. The experiments made are: (1) Static experiment-to see how the tension of a running yarn changes with changes in draft force and in the running speed of the yarn. (2) Dynamic experiment-to see how the tension of a running yarn, when elongated periodically, changes with changes in draft force, in the running speed of the yarn and in the amplitude of elongation which the yarn receives periodically. The samples used in both experiments were viscose filament yarns and nylon filament yarns.