This study presents the results of an experimental investigation on the behaviour of Fibre-Reinforced Reactive Powder Concrete (FR-RPC) under axial compression. The proportion of fibres by volume for all FR-RPC mixes was 1.5%. Steel fibres of 13 mm length and 0.2 mm diameter were used to prepare the Steel Fibre-Reinforced RPC (SFR-RPC). Glass fibres of 13 mm length and 1.3 mm diameter were used to prepare Glass Fibre-Reinforced RPC (GFR-RPC). Hybrid Fibre-Reinforced RPC (HFR-RPC) was prepared by mixing of 0.9% steel fibres and 0.6% glass fibres by volume. Non-Fibrous Reactive Powder Concrete (NF-RPC) was also prepared as a reference mix. Compressive strength and stress-strain behaviour of all RPC mixes were investigated. The experimental results showed that compressive strength and ductility of SFR-RPC were higher than the compressive strength and ductility of NF-RPC. The compressive strength of GFR-RPC and HFR-RPC was found to be marginally lower than the compressive strength of the NF-RPC, but the ductility was improved slightly.