Combustion behaviour of municipal solid waste bales is a rarely studied topic hitherto. However, there is dire need to devote research on the topic because baling as a storage methodology is getting popular among waste management companies and fire episodes in such storage sites can have devastating economic, environmental and social implications. In this study, thickness of low density polyethylene (LDPE) plastic sheets (12 layers, 6 layers and no layer) and type of ignition source (pilot ignition, thermal radiation) were investigated to see their effect on combustion behaviour of bales. In total eleven tests with a single bale in each test were performed. It has been found that the bales not wrapped with LDPE plastic sheets may pose higher hazards for adjacently stored material to catch fire as the value of maximum heat release rate observed for them was higher than those wrapped with LDPE plastic sheets. Furthermore, it has been found that LDPE plastic wrapping do not contribute significantly to the combustion of bales when exposed only to thermal radiation from an adjacent fire. However, it plays a significant role in ignition of bales in case exposed to a pilot flame ignition source. Molten LDPE plastic trapped between the adjacently stored bales was found to be another important factor influencing the combustion of bales.