A wound cloth, or in other words, bandage is a fabric of various types used to cover injured surfaces or to protect a damaged position. Applying stress to bandage induce pressure on a damaged position. This pressure is related to the type of injury. On the other hand, when a wound bandage is stretched to a certain level, the stress starts to relax in accordance to the time due to the viscoelastic properties. The stress relaxation of the bandage leads to decrease of radial pressure onto the position which may cause problems is some wound injuries. The main aim of this study is to investigate into the stress relaxation and recovery of the bandage. Two cases of Elastic and non-elastic bandage were studied. For tensile testing, Zwick tensile tester was used. The samples were stretched to a certain level of extension. Four different levels of initial stretch were applied i.e. 5, 10, 15, 20 percent for the non-elastic bandage and 50, 100, 150, and 200 percent for the elastic bandage. The stress relaxation values versus the time were then recorded and plotted. The stress relaxation was studied in short time of 20 minutes. The data was then used for viscoelastic modeling of the relaxation process. Linear standard model was used to model the relaxation behavior of the bandage. To verify the model curve fitting based on Least Square mothed was used. The results showed that the stress relaxation starts with a high rate (speed) at the beginning (zero time) and tends to slow down to a nearly constant value at the end (20 minutes). The results also revealed the value of the %relaxed force at the end was highly proportional to the applied initial level of extension. The correlation between the % relaxed force and the level of the initial extension was also studied. Both elastic and non-elastic bandage showed similar trend. The results of curve fitting revealed that the linear stand model can justify the relaxation of the bandage fabrics with a high correlation constant i.e. R-square. The ratio of the dashpot constant to the spring consent in the Maxwell part of the linear standard model is define as the relaxation time or relaxation constant (?). This was calculated for all cases. The results of the modeling showed that the model constant are different in different cases of initial extensions. However the relaxation constants (?) are nearly close to each other. The relaxation time or relaxation constant is higher in the case of non-elastic bandage showing that the speed of relaxation is lower in the case of non-elastic bandage in comparison to the elastic bandage.