A variety of research efforts have attempted to address the problem of desiccation cracking. Some have considered the use of surface moisture barrier above the clay liner, but case histories show that repeated cycles with seasonal temperature changes result in significant desiccation of the clay layer and associated cracking. Use of fibres to reduce the desiccation cracking in compacted clay has caught the attention of geotechnical engineers. An attempt is therefore made herein to study the development of cracks in clay liner materials and to control the desiccation cracks by use of randomly distributed discrete fibres. Since the 2000’s, awareness of landfill problems and their solutions has increased to a point where waste disposal by landfill has become a technology in its own right (Kalteziotes et al, 2004).