In recent years, there has been an intense search worldwide for an alternative material, which can substitute the asbestos fibre, a component of the asbestos cement, which has been found to be hazardous to human and animal health and has been banned already in many countries. Since 1979 the Non- conventional Materials Research Group of PUC-Rio has carried out works on the application of vegetable fibres, available in abundance in Brazil, for the fabrication of construction components, aiming mainly at the fabrication of popular housing. The curaúa fibre has been studied as it is already of popular use in the manufacturing of ropes, baskets and carpets in the region, known as Baixo Amazonas, in the state of Para, where the first plantations have been organized on a commercial scale. In this work, the physical, mechanical and micro-structural properties of the curauá fibres, as well as their application as a cimenticious matrix reinforcement, have been studied. The performance of curauá fibres and its composites was compared with other vegetable fibres, such as sisal, coconut and jute, as a substitute for asbestos fibres and its composites. The data on sisal and coconut fibres from previous works by the same research group at PUC-Rio was considered for comparison. The behaviour of jute fibres, as well as cimenticious composites, reinforced with jute and sisal fibres, have also been studied in this work. The results have shown that the curauá fibre has good physical and mechanical characteristics that make it suitable to be used as reinforcement of cimenticious matrices, with a high ductility and post-cracking resistance capacity.