In present paper, the compression force and strain curve for both plane plate and spherical ball compressions are conducted, where the compression stress and strain curve in plane plate compression is calculated and divided into three linear sections. Each linear region has corresponding compression modulus. In addition, three compression characters of both plate plane and spherical ball compressions are featured as compression work, maximum pressure/force and linear degree. Correlations between the three characters of compression property show that there exist high correlations between compression work and maximum pressure/force for plane plated and spherical ball compression. Moreover, effects of sample size and shape on compression properties are also conducted, and we find that there are no significant effects and the three compression characters are stable in both plane plate and spherical ball compression. Finally, the explicit formula derived in the Part I of this series for the spherical ball compression is used, and the ball compression force and strain curves are simulated based on the compression stress and strain curves based on plane plate compression tests. The comparing results between measured and theoretical results indicate that the theoretical model is effective to simulate ball compression behaviour of general knitted spacer fabrics. It is highly helpful in designing and predicting compression force of knitted spacer fabric for virtual processing of textile materials.