Generalized evaluation of the knitted and woven fabrics quality by the quantity indexes in using the KES-FB apparatuses in the frame of "low-stress deformations" is the goal of the present work. The examined knitted fabric is the Single Jersey prepared in circular knitting machine with five different values of loop length. The inverstigated woven fabrics are classified in two groups: light and medium weighty. In the first part of this research, the authors have reported the testings on the traction force-tensile test, testing on the cross force-shear test, in this second part, the testing on the surface force compression test will be presented.